Transcript
IMSER NAROPAL
II LUDOM
GNAULEP ISUBIRTSID
:helO
ysiA lutadahiR ihctaF 1100014131
nawaiteS ideD 1700014131
:nesoD netsisA
sayT gninuyA amharooN 2000012131
AKITSITATS NASURUJ
NAUHATEGNEP UMLI NAD AKITAMETAM SATLUKAF MALA
REBMEPON HULUPES IGOLONKET TUTITSNI
AYABARUS
4102
i
IMSER NAROPAL
II LUDOM
GNAULEP ISUBIRTSID
:helO
ysiA lutadahiR ihctaF 1100014131
nawaiteS ideD 1700014131
:nesoD netsisA
sayT gninuyA amharooN 2000012131
AKITSITATS NASURUJ
NAUHATEGNEP UMLI NAD AKITAMETAM SATLUKAF MALA
REBMEPON HULUPES IGOLONKET TUTITSNI
AYABARUS
4102
ii
KARTSBA
namaz nagnabmekrep natutnut aynada nagneD irasadnem gnay umli aynada ulrep , tubesret naarikrep .akitsitats umli utiay ,dilav gnay atad naklisahgnem tapad nad tapet raga
naarikrep irajalepmem gnay umlI - utnetret utkaw adap idajret naka gnay naarikrep.gnaulep iretam malad nakgnologid .1 nagned iapmas 0 aratna rasikreb gnauleP
y umli aynada nakrasadreB ini akitsitats umli alup gnabmekreb ,gnabmekreb nikames gna utiay ,2 idajnem igabret gnaulep isubirtsiD .gnaulep isubirtsid umli aynada nagned utiay
tirksid gnaulep isubirtsid unitnok gnaulep isubirtsid nad igabret tirksid gnaulep isubirtsiD . aynnaabocrep utaus adap gnay laimonib isubirtsid aynlasim ,isubirtsid aparebeb sata
nossiop isubirtsid nad lagag uata lisahreb utiay lisah nanikgnumek aud iaynupmem gnayap kaca araces idajret naidajek utaus nakkujnunem gnaur malad kitit nad utkaw lavretni ad
aynlasim ,isubirtsid aparebeb irad iridret aguj unitnok gnaulep isubirtsiD .utnetret itrepes kutnebreb gnay kifarg aynada nagned nakkujnutid aynasaib gnay lamron isubirtsid
isnenopske isubirtsid nad sirtemis uata leb akkujnunem la n 2 aratna utkaw narukugnep atad naktikgnabid naka ini naitilenep malaD .nossiop isubirtsid iaynupmem gnay naidajek kutneb malad nakijasid laisnenopske nad ,lamron ,nossiop ,laimonib isubirtsid kutnu
tolprettacs gnay ada nad dna mets faeL umek gnay naadebrep aynnakumetid naka naid aratna rasadnem tolprettacs .aynretemarap nautnetek nagned iauses nial gnay nagned utas
,unitnok isubirtsid ,tirksid isubirtsid : icnuK ataK tolprettacs , fael dna mets
iii
ISI RATFAD
LUDUJ NAMALAH ................................ ................................ ......................... i
TSBA KAR ................................ ................................ ................................ ......... ii
ISI RATFAD ................................ ................................ ................................ .... iii
RABMAG RATFAD ................................ ................................ ......................... v
LEBAT RATFAD ................................ ................................ ............................ iv
I BAB NAULUHADNEP
1.1 gnakaleB rataL ................................ ................................ .................... 1
2.1 halasaM nasumuR ................................ ................................ ............... 1
3.1 naujuT ................................ ................................ ................................ 2
4.1 taafnaM ................................ ................................ .............................. 2
II BAB AKATSUP NAUAJNIT
1.2 gnaulep isubirtsiD ................................ ................................ ............... 4
2.2 tirksid gnaulep isubirtsiD ................................ ................................ .... 4
1.2.2 laimoniB isubirtsiD ................................ ................................ .... 4
isubirtsiD 2.2.2 nossioP ................................ ................................ ...... 5
3.2 unitnok gnaulep isubirtsiD ................................ ................................ . 5
1.3.2 lamroN isubirtsiD ................................ ................................ ..... 5
2.3.2 laisnenopskE isubirtsiD ................................ ............................ 6
4.2 faeL dna metS ................................ ................................ ................... 7
5.2 tolprettacS ................................ ................................ ........................ 7
III BAB NASILUNEP IGOLODOTEM
1.3 ataD rebmuS ................................ ................................ ....................... 8
2.3 naitileneP lebairaV ................................ ................................ .............. 8
3.3 sisilanA hakgnaL ................................ ................................ ................ 8
4.3 rilA margaiD ................................ ................................ ....................... 9
VI BAB SISILANA NASAHABMEP NAD
1.4 laimoniB isubirtsiD ................................ ................................ ............ 01
ialiN 1.1.4 naeM laimonib isubirtsid isnairaV nad ................................ .. 01
2.1.4 tolprettacS ................................ ................................ .................... 21
2.4 D nossioP isubirtsi ................................ ................................ .............. 71
3.4 lamroN isubirtsiD ................................ ................................ .............. 71
vi
1.3.4 fael dna metS ................................ ................................ ............ 81
2.3.4 tolprettacS ................................ ................................ ................. 91
4.4 laisnenopskE isubirtsiD ................................ ................................ ...... 02
V BAB NALUPMISEK
1.5 nalupmiseK ................................ ................................ ........................ 12
2.5 naraS ................................ ................................ ................................ . 12
NARIPMAL
AKATSUP RATFAD
v
RABMAG RATFAD
1.3 rabmaG trahcwolF gnaulep isubirtsiD naanaskaleP ................................ ....... 9
1.4 rabmaG tolprettacS ,02=n nagned laimoniB isubirtsiD kutnu ,3,0=p ,1,0=p
8,0=p nad ................................ ................................ ................................ .......... 21
.4 rabmaG 2 tolprettacS =n nagned laimoniB isubirtsiD 5 ,0 kutnu ,3,0=p ,1,0=p
8,0=p nad ................................ ................................ ................................ ........... 31
.4 rabmaG 3 tolprettacS nagned laimoniB isubirtsiD 0=p ialin kutnu ,1. =n nad 02
=p 05 ................................ ................................ ................................ .................. 41
.4 rabmaG 4 tolprettacS nagned laimoniB isubirtsiD 0=p ialin kutnu ,3. =n nad 02
=p 05 ................................ ................................ ................................ .................. 51
.4 rabmaG 5 tolprettacS nagned laimoniB isubirtsiD 0=p ialin kutnu ,8. =n nad 02
=p 05 ................................ ................................ ................................ .................. 61
.4 rabmaG 6 tolprettacS isubirtsiD nosioP nagned
𝜇 nad 4=
𝜇 8= ......................... 71
.4 rabmaG 7 tolprettacS isubirtsiD lamroN nagned =n kutnu ,001
𝜇 0= ds nad 1=
𝜇 02= ds 2.4= ................................ ................................ ................................ ....... 91
.4 rabmaG 8 tolprettacS isubirtsiD lamroN nagned =n kutnu ,003
𝜇 0= ds nad 1=
𝜇 02= ds 2.4= ................................ ................................ ................................ ....... 91
.4 rabmaG 9 S tolprettac isubirtsiD nopxE e laitn nagned
𝜇 kutnu 5= =n 001 .......... 02
iv
LEBAT RATFAD
1.4 lebaT batiniM tuptuO naem akij isnairav nad = n nad 02 = p 1.0 ................... 01
.4 lebaT 2 tuptuO naem batinim akij isnairav nad = n nad 02 = p .0 3 .................... 01
3.4 lebaT naem batinim tuptuO akij isnairav nad = n nad 02 = p 8.0 .................... 11
4.4 lebaT naem batinim tuptuO akij isnairav nad = n nad 05 = p 1.0 .................... 11
5.4 lebaT naem batinim tuptuO akij isnairav nad = n nad 05 = p 3.0 .................... 11
6.4 lebaT inim tuptuO naem bat akij isnairav nad = n nad 05 = p 8.0 .................... 11
1
I BAB
NAULUHADNEP
1.1 gnakaleB rataL
utaus nakarikrepmem tapad kutnu tutnutid aisunam ,ini gnarakes adaP lah
gnay umli aynada ulrep ,tubesret natutnut aynada nagneD .utnetret utkaw malad
,dilav gnay atad naklisahgnem tapad nad tapet raga tubesret naarikrep irasadnem
.akitsitats umli utiay
gnay umlI naarikrep irajalepmem - utkaw adap idajret naka gnay naarikrep
iridnes gnauleP .gnaulep iretam malad nakgnologid utnetret raseb nakkujnunem
0 aratna rasikreb gnauleP .utkaw utaus adap idajret naka naidajek nanikgnumek
,gnabmekreb nikames gnay umli aynada nakrasadreB .1 nagned iapmas
ini akitsitats umli alup gnabmekreb .gnaulep isubirtsid umli aynada nagned utiay
isubirtsid nad tirksid gnaulep isubirtsid utiay ,2 idajnem igabret gnaulep isubirtsiD
.unitnok gnaulep gnaulep isubirtsid nagned adebreb tirksid gnaulep isubirtsiD
hgnem tirksid gnaulep isubirtsid akij ,unitnok naidajek utaus gnuti isubirtsid ,
.lld ,ialin ,natapecek ,tareb ,iggnit itrepes ,rukugnem unitnok gnaulep
aynlasim ,isubirtsid aparebeb sata igabret tirksid gnaulep isubirtsiD
laimonib isubirtsid nanikgnumek aud iaynupmem aynnaabocrep utaus adap gnay
lisah nossiop isubirtsid nad lagag uata lisahreb utiay utaus nakkujnunem gnay
utnetret gnaur malad kitit nad utkaw lavretni adap kaca araces idajret naidajek .
isubirtsid aynlasim ,isubirtsid aparebeb irad iridret aguj unitnok gnaulep isubirtsiD
lamron rg aynada nagned nakkujnutid aynasaib gnay itrepes kutnebreb gnay kifa
uata leb utkaw narukugnep makkujnunem laisnenopske isubirtsid nad sirtemis
.nossiop isubirtsid iaynupmem gnay naidajek 2 aratna
irtsid kutnu atad naktikgnabid naka ini naitilenep malaD ,laimonib isub
kutneb malad nakijasid laisnenopske nad ,lamron ,nossiop tolprettacs ada nad
gnay ets m dna faeL helorepid tapad ini naitilenep aynada nagned nakparahiD .
.isubirtsid paites adap atad nakadebmem malad anugreb gnay isamrofni
2
2.1 nasumuR halasaM
kutnu nauca iagabes lucnum gnay halasam nasumur ,ini mukitkarp malaD
.tukireb iagabes halada atad sisilana
.1 nagnidnabrep anamiagaB tolprettacs imonib isubirtsid irad alibapa la
𝓃
n iaynupmem nagned amas iali p nad adebreb
𝓃 adebreb ialin iaynupmem
nagned p ?amas
.2 nagnidnabrep anamiagaB tolprettacs nossiop isubirtsid irad ialin nagned
m nae utiay adebreb gnay m nae nad 4 = m nae ?8 =
.3 nagnidnabrep anamiagaB tolprettacs nagned lamron isubirtsid irad m nae
let gnay isaived radnats nad padahret nakutnetid ha
𝓃 ?adebreb gnay
.4 anamiagaB tolprettacs laisnenopske isubirtsid irad nagned m nae nad 5 =
𝓃
= ?001
3.1 naujuT
malad iapacid naka gnay naujut naklisahgnem sata id halasam nasumureP
nataigek mukitkarp .tukireb iagabes utiay ,ini
.1 nagnidnabrep iuhategnem kutnU tolprettacs subirtsid irad gnay laimonib i
ialin ikilimem
𝓃 nad amas p breb ialin ikilimem gnay nagned ade
𝓃 adebreb
.amas p ialin nad
.2 nagnidnabrep iuhategnem kutnU tolprettacs nagned nossiop isubirtsid irad
ialin m nae eb gnay .8 nad 4 utiay adebr
.3 nagnidnabrep iuhategnem kutnU tolprettacs nad mets dna faeL irad
isubirtsid nagned lamron m nae isaived radnats nad nakutnetid halet gnay
padahret
𝓃 .adebreb gnay
.4 iuhategnem kutnU tolprettacs nagned laisnenopske isubirtsid irad m nae 5 =
nad
𝓃 .001 =
4.1 taafnaM
halada libmaid tapad gnay taafnam ,ini mukitkarp nataigek iraD
.tukireb iagabes
.1 itregnem atres imahamem upmaM aynmacam naktubeynem tapad nad itra
unitnok satilibaborp isubirtsid nad tirksid satilibaborp isubirtsid irad araces
liated
3
.2 iuhategnem upmaM nagnidnabrep tolprettacs isubirtsid nakkujnutid gnay
ib n gnay laimo ialin ikilimem
𝓃 nad amas p breb ikilimem gnay nagned ade
ialin
𝓃 ialin nad adebreb p amas
.3 iuhategnem upmaM nagnidnabrep tolprettacs op isubirtsid irad nagned nossi
ialin m nae adebreb gnay
.4 iuhategnem upmaM nagnidnabrep tolprettacs nad ets m dna faeL irad
nagned lamron isubirtsid m nae isaived radnats nad nakutnetid halet gnay
padahret
𝓃 adebreb gnay
.5 iuhategnem upmaM tolprettacs nagned laisnenopske isubirtsid irad m nae =
nad 5
𝓃 .001 =
4
II BAB
AKATSUP NAUAJNIT
1.2 gnauleP isubirtsiD
gnay naamasrep uata ,rabmag ,lebat halada gnaulep isubirtsiD
ialin nakispirksednem uata nakrabmaggnem - irad nikgnum gnay ialin kaca habuep
habuep( natadapek uata )tirksid kaca habuep( aynnaiausesreb gnay gnaulep nad
.)unitnok kaca
2.2 rksiD gnauleP isubirtsiD it
ialin aumes helorepmem aynkaca habuep halada tirksid gnaulep isubirtsiD
da tirksid lepmas gnauR .amas gnay gnaulep nagned gnay lepmas gnaur utaus hala
kitit gnudnagnem gnay gnay atoggna nateredes uata aynkaynab aggnihreb
tururet nagnasap nanupmih .talub nagnalib kaynabes aynkaynab ))x(f ,x(
utaus nakapurem ubirtsid uata ,gnaulep assam isgnuf ,gnaulep isgnuf gnaulep is
terksid kaca habuep
𝓍 ,alib lisah nanikgnumek paites kutnu
𝓍. .1
𝑓(
𝓍)
�
0
.2 ∑
𝑓(
𝓍)
�
1
𝒳
.3
𝑃(
𝒳
�
𝓍)
�
𝑓
�
𝓍
�
1.2.2 laimoniB isubirtsiD
seskus naklisahgnem tapad illuonreB ahasu utaus halada laimonib isubirtsiD
gnaulep nagned p gnaulep nagned lagag nad = q 1-p gnaulep isubirtsid akam ,
laimonib kaca habuep
𝓍 malad seskus aynkaynab utiay , n halai ,sabeb ahasu
b = )p;n;x( �
𝑛
𝑥�
𝑝
𝑥
𝑞
𝑛
−
𝑥 , ,... ,2 ,1 ,0 = x
𝓃 ) 1.2 (
: nagnareteK
𝑛 naabocrep aynkaynab =
𝑥 seskus aynkaynab =
𝑝 seskus gnaulep =
𝑞 = lagag gnaulep
5
nossioP isubirtsiD 2.2.2
lisah aynkaynaB
𝓍 utaus tubesid nossiop naabocrep utaus malad irtsid isub
nossioP kaca habuep gnaulep
𝓍, idajret gnay seskus aynkaynab nakataynem gnay
gnales utaus malad nagned nakataynid utnetret haread uata utkaw t helo nakirebid ,
(P x;
𝜇
� =
𝑒
−
𝜇
�
𝜇
�
𝓍
𝓍
! , x ... ,2 ,1 ,0 = )2.2(
: nagnareteK
� 82817,2 =
𝓍 kaca lebairav =
𝜇 atar = - atar
𝜇 atar nakataynem - uara utkaw nautasrep idajret gnay seskus aynkaynab atar
nad tubesret haread � 82817,2 =
nagnuggnatrep ,utum nailadnegnep malad nakanugid kaynab nossiop isubirtsiD
gnay unitnok isubirtsid aparebeb ,uti gnipmasiD .naamirenep gnilpmas ,utum
p malad nakanugid gnay gnitne naladnaretek iroet gnutnagreb nairtna iroet nad
.nossiop sesorp adap
3.2 unitnoK gnauleP isubirtsiD
iD halada unitnok gnaulep isubirts helorepmem tapad gnay kaca habuep
adap ialin aumes alaks unitnok . gnudnagnem lepmas gnaur aliB gnay lepmas kitit
aynkaynab aggnihrebkat , aynkaynab nad uti ,sirag gnotopes adap kitit kaynabes
isgnuF .unitnok lepmas gnaur taubesid uti lepmas gnaur akam
𝑓
�
𝓍
� isgnuf halada
kaca habuep gnaulep tadap unitnok X aumes nanupmih sata id nakisinifedid gnay ,
laer nagnalib R alib ,
.1
𝑓
�
𝓍
�
�
0
aumes kutnu
𝓍
𝜖
𝑅
.2 ∫
𝑓
�
𝓍
�
∞
−
∞ 1 = xd
.3 P
�
𝑎
�
𝒳
�
𝑏
� = ∫
𝑓
�
𝓍
�
𝑏
𝑎 xd
1.3.2 lamroN isubirtsiD
kutneb gnay halada lamroN isubirtsid alop itukignem gnay mala anemoneF
gnay atneg ledom kutnebmem naka margotsih nagned nakrabmagid akij aynatad
nigna tabika iggnit nanugnab adap nanaket isautkulf isubirtsid aynlasiM .sirtemis
gnit isubirtsid ,)1791( napot atar tual akum sataid gnabmoleg ig - atar id thgiwtraC
6
itukignem gnay kaca lebairav halada x akiJ .lld )6591( on isubirtsid akam lamr
nataparek isgnuf 𝓍 .tukireb iagabes silutid tapad
𝑓(𝓍) = 𝑓(𝒳) = 1𝜎√2𝜋
pxe �− 12
�𝓍− 𝜇𝜎
�2
� )3.2(
: nagnareteK
𝓍 kaca lebairav =
𝜇 atar = - atar
𝜋 ....41,3 =
𝜎 isaived radnats =
nagneD 𝜇 nad 𝜎 atar nakataynem - lah malaD .isubirtsid isaived radnats nad atar
( N ~ X takgnis isaton nakanugid gnires ini 𝜇 , 𝜎 isubirtsid itukignem X aynitra )
atar nagned lamroN - atar 𝜇 isaived radnats nad 𝜎 tapad lamroN isubirtsid kutneB .
1.2 rabmag adap tahilid
lamron isubirtsid avruk 1.2 rabmaG
2.3.2 laisnenopskE isubirtsiD
nenopske isubirtsiD .utkaw isubirtsid iagabes tubesid gnires lais
nagned tare tagnas aynawitsireP irep nagned .nossiop isubirtsid adap awits
𝑓(𝓍) = 𝜆𝑒− 𝓍𝜆 )4.2(
𝑝 (𝒳 ≤ 𝓍) = 1 − 𝑒− 𝓍𝜆 )5.2(
𝑝(𝒳 ≥ 𝓍) = 𝑒− 𝑥𝜆 )6.2(
𝑝(𝓍1 ≤ 𝒳 ≤ 𝓍2) = 𝑒−𝜆𝓍1 − 𝑒−𝜆𝓍2 )7.2(
nagnareteK
𝓍 kaca lebairav =
𝜆 = 1𝜇
7
4.2 faeL dna metS
faeL dna metS a nakijaynem kutnu nakanugrepid gnay margaid utaus halad
araces ,aynlaudividni atad aumes isamrofni nagnalihek surah apnat atad nalupmuk
uata tasupret aynnarabeynep hakapa ,atad isubirtsid naklipmanem tapad fitkefe
malad ,rabesret faeL dna metS atad margaid - ,naigab aud idajnem nakhasipid atad
gnatab tubesid irik halebes silutid gnay amatrep akgna ( mets nakgnades nad )
akgna - ( nuad nagned tubesid nanak halebes silutid gnay aynasis akgna faeL ) .
)8002 ,gnojoB nadaD(
5.2 tolprettacS
tolprettacS halada kifarg haubes utaus tahilem kutnu nakanugid asaib gnay
.lebairav 2 aratna nagnubuh alop nakanuggnem asib kutnU rettacs tolp atad alaks ,
nad lavretni alaks halsurah nakanugid gnay .oisar W oytesarP( )9002 ,ayaji
8
III BAB
IGOLODOTEM NASILUNEP
1.3 rebmuS ataD
irad rebmusreb ini ludom nataubmep malad nakanugid gnay ataD
lisah atad natikgnabmep batiniM atad nakapurem ini tukireB . - gnay atad
: utiay ,nakanugid
.1 laimonib isubirtsiD
.a
𝓃 ; 02 = p1 ; 1,0 = p2 ; 3,0 = p3 8,0 =
.b
𝓃 ; 05 = p1 ; 1,0 = p2 ; 3,0 = p3 8,0 =
.c
𝓃 ; 02 =
𝓃 ; 05 = p 1,0 =
.d
𝓃 ; 02 =
𝓃 ; 05 = p 3,0 =
.e
𝓃 ; 02 =
𝓃 ; 05 = p 8,0 =
.2 nossioP isubirtsiD
.a m nae 4 =
.b m nae 8 =
.3 lamroN isubirtsiD
.a m nae 1 = isaived radnats nad 0 = nagned
𝓃 nad 001 =
𝓃 003 =
.b m nae 2,4 = isaived radnats nad 02 = nagned
𝓃 nad 001 =
𝓃 003 =
.4 laisnenopskE isubirtsiD
.a m nae nad 5 =
𝓃 001 =
2.3 naitileneP lebairaV
:tukireb iagabes halada nakanugid naka gnay lebairav nupadA
.1 laimoniB isubirtsiD
.2 nossioP isubirtsiD
.3 lamroN isubirtsiD
.4 laisnenopskE isubirtsiD
3.3 sisilanA hakgnaL
hakgnaL - nalupmisek kiranem atres atad naklupmugnem malad hakgnal
:tukireb iagabes halada
.1 naitilenep naujut nakutneneM
.2 naitilenep lebairav nakutneneM
9
.3 iulalem atad natikgnabmeP m batini
.4 atad sisilanagneM
.5 tubesret atad irad nalupmisek kiraneM
4.3 rilA margaiD
,ini naropal nataubmep malad nanalajrep rula nakrabmaggnem rila margaiD
.naras nad nalupmisek irebmem aggnih halasam nasumurep sesorp irad ialum
.tukireb iagabes halada ini naropal malad iakapid gnay rila margaiD
1.3 rabmaG F trahcwol gnaulep isubirtsid mukitkarp naanaskaleP
ialuM
naujut nakutneneM naitilenep
iulalem atad natikgnabmeP m batini
atad sisilanagneM
naitilenep lebairav nakutneneM
: tirksiD gnauleP isubirtsiD
- laimoniB isubirtsiD - isubirtsiD nossioP
: unitnoK gnauleP isubirtsiD
- lamroN isubirtsiD - laisnenopskE isubirtsiD
naraS nad nalupmiseK
iaseleS
01
VI BAB
NASAHABMEP NAD SISILANA
1.4 laimoniB isubirtsiD
adaP ini nasahabmep atad , laimonib isubirtsid kutnu naktikgnabid gnay
nautnab nagned erawtfos batinim :nautnetek nagned
.1 ialin nagned amatrep gnay ataD
𝑛
�
02 ialin kutnu
𝑝
�
0
.
1
;
𝑝
�
0
.
3
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.2 ialin nagned amatrep gnay ataD
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;
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nakatikgnabid halet gnay laimonib isubirtsidreb atad iraD naka , gnutihid
ialin naem kutneb malad aynnakijaynem atres aynisnairav nad tolprettacS .
.1.1.4 ialiN naeM isnairaV nad B isubirtsiD laimoni
ialin nakutnetid naka ini nasahabmep adaP naem atad irad isnairav nad
irad naktikgnabid halet gnay erawtfos batinim , nakanuggnem nagned erawtfos
batinim ialin uti niales ,aguj naem nagned launam araces nakutnetid nairav nad
ialin nganutihrep nakapurem ini tukireB .ada gnay sumur nakanuggnem naem nad
irad isnairav erawtfos batinim , nagnutihrep nakananugid aguj nagnidnabrep kutnu
gned launam araces sumur na
𝜇
�
𝑝𝑛 kutnu naem sumur nakanuggnem aynisnairav nad
𝜎
2
�
𝑞𝑝𝑛 ialin anam gnay
𝑞 irad helorepid
1
�
𝑝 .
kutnU = n nad 02 = p ialin 1.0 naem .tukireb iagabes aynnairav nad 1.4 lebaT tuptuO batinim naem akij isnairav nad = n nad 02 = p 1.0
tuptuO batinim launam nagnutihreP
naem 74.2
2
isnairaV 626253.2
1
,
8
kutnU = n nad 02 = p ialin 3.0 naem tukireb iagabes aynnairav nad .4 lebaT 2 tuptuO batinim naem akij isnairav nad = n nad 02 = p .0 3
batinim tuptuO launam nagnutihreP
m nae 20.6
6 isnairaV 291959.3
4
,
2
11
kutnU = n nad 02 = p ialin 8.0 naem tukireb iagabes aynnairav nad 3.4 lebaT naem batinim tuptuO akij isnairav nad = n nad 02 = p 8.0
batinim tuptuO launam nagnutihreP M nae 8.51
61 isnairaV 453535.3 2,3
kutnU = n nad 05 = p ialin 1.0 naem tukireb iagabes aynnairav nad 4.4 lebaT naem batinim tuptuO akij isnairav nad = n 5 nad 0 = p 1.0
batinim tuptuO launam nagnutihreP M nae 2.5 5
isnairaV 30303.4 5,4
kutnU = n nad 05 = p ialin 3.0 naem tukireb iagabes aynnairav nad 5.4 lebaT naem batinim tuptuO akij isnairav nad = n 5 nad 0 = p 3.0
batinim tuptuO launam nagnutihreP
M nae 64.51 51 isnairaV 93990.11 01
kutnU = n nad 05 = p ialin 8.0 naem tukireb iagabes aynnairav nad 6.4 lebaT naem batinim tuptuO akij isnairav nad = n 5 nad 0 = p 8.0
batinim tuptuO launam nagnutihreP M nae 11.04 04
isnairaV 180810.8 8
ialin nagnidnabrep iraD naem tuptuo lisah isnairav nad batinim lisah nad
itakednem gnay ialin ada launam araces gnutihid gnay sumur nagnutihrep irad
ialin nakutnenem tapad atik utigeb nagneD .amas ripmah uata naem isnairav nad
nautnab nakanuggnem gnutihid gnusgnal nagned tapad batinim erawtfos aguj uata
usgnal nagned .sataid sumur nakanuggnem gn
.2.1.4 PrettacS tol
ratna nagnidnabrep nad naadebrep imahamem malad nakhadumem kutnU
nakanugid tapad akam ,laimonib isubirtsid adap nial gnay nagned utas atad
tolprettacS irad lisah nakapuem ini tukireb tolprettacS :sata id atad adap
.1 tolprettacS 1
rabmag adapirad lisah nakapurem ini tukireB tolprettacS atad kutnu
nagned = n nad ,02 p ravreb ayn ialum utiay isai = p ,1.0 = p nad ,3.0 = p 8.0
21
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P(x)
P(x) 1 * Binom n=20 p=0.1P(x) 2 * Binom n=20 p=0.3P(x) 3 * Binom n=20 p=0.8
Variable
1.4 rabmaG tolprettacS ,02=n nagned laimoniB isubirtsiD kutnu 8,0=p nad ,3,0=p ,1,0=p
nakrasadreB 1.4 rabmag sata id anam gnay ,avruk agit irad iridret gnay
nagned atad kutnu matih anrawreb anrawreb gnay avruk = n nad 02 = p ,1.0
ialin nagned laimonib atad kutnu harem anraw nakgnades = n nad 02 p = nad ,3.0
aret gnay kutnu uajih anrawreb gnay avruk rihk = n nad 02 = p 8.0 tapad ,
nakgnidnabid nagned laimonib atad irad nial gnay nagned utas gnay avruk aratna
n adebreb p ipatet amas gnay adapirad ialin nakapurem kifarg adap kacnup kitiT .
naem g adaP .atad haubes irad rabma kutnu ,1.4 = n nad 02 = p tahilid tapad 1.0
ialin naem kutnu ,74.2 ,utiay ayn naem atad nagned = n nad 02 = p 0 3. halada ,20.6
d atad kutnu nakgnades nagne = n nad 02 = p ,0 8 ialin naem ayn halada 1 ,5 iraD .8
ialin naem ialin raseb nikames awhab iuhatekid tapad em na aynavruk akam ayn
ialin anam gnay 1.4 kifarg adap itkubret halet uti lah ,nanakek resegreb naka naem
kutnu = p < 1.0 naem kutnu = p < 3.0 naem kutnu = p kutnu avruk aggnihes ,8.0 p
= ialin ikilimem anerak irik gnilap katelret 1.0 naem ,hadner gnilap gnay
des kutnu nakgna = p ialin anerak 1.4 rabmag adap nanak gnilap katelret 8.0
naem n ay .raseb gnilap gnay
uata iadnaL aynkadit helo ihuragnepid avruk adapirad ialin isnairav ,ayn
rasebret gnay uata licekret gnay atad irad nagnapmis tubesid aguj isnairav ialin
nagned naem nikames awhab naklupmisid tapad naikimed nagned aggnihes ,ayn
atad nial atak nagned iadnal nikames tubesret atad akam aynisnairav ialin raseb
nikames tubesret nikames aynisnairav ialin akij aynkilabes alup utigeb ,magareb
gnicnur kutnebreb aynavruk uata tasupret tubesret atad akam licek nakrasadreB .
rabmag 1.4 nagned atad halada iggnit gnilap isnairav ikilimem gnay atad , = n 02
31
nad = p 0.3 l gnilap aynavruk anerak isnairav ikilimem gnay atad nakgnades ,iadna
nagned atad halada hadner gnilap = n nad 02 p = 0. gnilap aynavruk anerak 1
.gnicnur
.2 tolprettacS 2
rabmag adapirad lisah nakapurem ini tukireB tolprettacS atad kutnu
nagned = n nad ,05 p lum utiay isaiaravreb ayn ia = p ,1.0 = p nad ,3.0 = p 8.0
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P(x)
P(x) 4 * Binom n=50 p=0.1P(x) 5 * Binom n=50 p=0.3P(x) 6 * Binom n=50 p=0.8
Variable
.4 rabmaG 2 tolprettacS nagned laimoniB isubirtsiD n=5 ,0 kutnu p ,1,0= p nad ,3,0= p 8,0=
nakrasadreB 2.4 rabmag sata id vruk agit irad iridret gnay anam gnay ,a
gnay avruk nagned atad kutnu matih anrawreb = n nad 05 = p nakgnades ,1.0
ialin nagned laimonib atad kutnu harem anraw = n rihkaret gnay nad ,3.0 nad 05
kutnu uajih anrawreb gnay avruk = n nad 05 = p 8.0 nakgnidnabid tapad , aratna
nagned laimonib atad irad nial gnay nagned utas gnay avruk n p ipatet amas gnay
adebreb adapirad ialin nakapurem kifarg adap kacnup kitiT . naem haubes irad
g adaP .atad rabma kutnu ,2.4 = n nad 05 = p ialin tahilid tapad 1.0 naem ,utiay ayn
utnu ,2.5 k naem atad nagned = n 5 nad 0 = p 0 3. halada kutnu nakgnades ,64.51
d atad nagne = n nad 02 = p 0 8. ialin naem ayn halada ialin iraD .11.04 naem tapad
ialin raseb nikames awhab iuhatekid naem resegreb naka aynavruk akam ayn
ah ,nanakek dap itkubret halet uti l g a rabma ialin anam gnay ,2.4 naem kutnu = p
< 1.0 naem kutnu = p < 3.0 naem kutnu = p kutnu avruk aggnihes ,8.0 = p 1.0
ialin ikilimem anerak irik gnilap katelret naem nakgnades ,hadner gnilap gnay
kutnu = p elret 8.0 .4 rabmag adap nanak gnilap kat 2 ialin anerak naem gnay ay
.raseb gnilap
41
uata iadnaL aynkadit helo ihuragnepid avruk adapirad ialin isnairav ,ayn
rasebret gnay uata licekret gnay atad irad nagnapmis tubesid aguj isnairav ialin
nagned naem hab naklupmisid tapad naikimed nagned aggnihes ,ayn nikames aw
atad nial atak nagned iadnal nikames tubesret atad akam aynisnairav ialin raseb
nikames aynisnairav ialin akij aynkilabes alup utigeb ,magareb nikames tubesret
gnicnur kutnebreb aynavruk uata tasupret tubesret atad akam licek nakrasadreB .
rabmag .4 2 nagned atad halada iggnit gnilap isnairav ikilimem gnay atad , = n 5 0
nad = p 0.3 isnairav ialin ikilimem atad nakgnades ,iadnal gnilap aynavruk anerak
nagned atad halada hadner gnilap isnairav ikilimem gnay = n 5 nad 0 = p 0. 1
ur gnilap aynavruk anerak .gnicn
.3 tolprettacS 3
rabmag adapirad lisah nakapurem ini tukireB tolprettacS atad kutnu
nagned = p 1.0 .05 nad 02 rasebes ayn n nad ,
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P(x)
P(x) 1 * Binom n=20 p=0.1P(x) 4 * Binom n=50 p=0.1
Variable
.4 rabmaG 3 tolprettacS nagned laimoniB isubirtsiD 0=p ialin kutnu ,1. =n nad 02 n= 05
nakrasadreB 3.4 rabmag nakgnidnabid tapad ,sata id naem isnairav nad
nagned laimonib atad irad p ipatet amas gnay n adebreb avruk 3.4 rabmag adaP .
nagned laimonib atad irad avruk nakapurem matih anrawreb gnay = n nad 02 = p
rem anrawreb gnay nakgnades ,1.0 nagned atad irad avruk nakapurem ha = n 05
d na p 1.0 patet ialin nagneD . p ipatet ,amas gnay n akam ,raseb nikames naem
.raseb nikames naka aguj atad isnairav nad naeM nagned laimonib atad irad = p
1.0 nad = n 2 halada 02 74. nakgnades naem d laimonib atad nagne = p 1.0 nad = n
halada 05 2.5 nagned laimonib atad isnairav = p 1.0 nad = n licek hibel 02
nagned laimonib atad adapirad = p 1.0 nad = n 5.0 . naadebreP naem naka
51
katel ihuragnepmem irad raseb nikameS .avruk ialin naem naka avruk akam ,
ek resegreb 3.4 rabmag irad tahiliD .nanak nagned avruk , = p 1.0 nad = n 05
nagned nanak id katelret = p 1.0 nad = n anerak 02 naem nagned avruk irad = p
1.0 nad = n 05 .raseb hibel
uata iadnal ihuragnepmem naka isnairav naadebreP utaus aynkadit .avruk
av raseb nikameS iadnal nikames naka avruk akam ,isnair d , irad tahili 3.4 rabmag ,
nagned avruk = p 1.0 nad = n 05 hibel aynisnairav anerak iadnal hibel tahilret
nagned avruk gnidnabid raseb = p 1.0 nad = n .02
.4 tolprettacS 4
rabmag nakapurem ini tukireB tolprettacS atad kutnu nagned = p .0 3 nad ,
05 nad 02 rasebes ayn n ;
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P(x)
P(x) 2 * Binom n=20 p=0.3P(x) 5 * Binom n=50 p=0.3
Variable
.4 rabmaG 4 tolprettacS nagned laimoniB isubirtsiD 0=p ialin kutnu ,3. =n nad 02 n= 05
nakrasadreB 4.4 rabmag nakgnidnabid tapad ,sata id naem isnairav nad
onib atad irad nagned laim p ipatet amas gnay
𝑛 adebreb avruk 4.4 rabmag adaP .
nagned laimonib atad irad avruk nakapurem matih anrawreb gnay = n nad 02 = p
nagned atad irad avruk nakapurem harem anrawreb gnay nakgnades ,3.0 = n 05
nad p .0 patet 3 ialin nagneD . p ipatet ,amas gnay
𝑛 akam ,raseb nikames naem nad
.raseb nikames naka aguj atad isnairav naeM nagned laimonib atad irad = p 0 3.
nad = n halada 02 20.6 nakgnades naem nagned laimonib atad = p 0 3. nad = n 05
halada 64.51 nagned laimonib atad isnairav = p 0 3. nad = n adapirad licek hibel 02
nagned laimonib atad = p 3.0 nad = n 50. naadebreP naem ihuragnepmem naka
katel irad raseb nikameS .avruk ialin naem .nanak ek resegreb naka avruk akam ,
irad tahiliD 4.4 rabmag nagned avruk , = p 0 3. nad = n nanak id katelret 05
61
nagned = p 3.0 nad = n anerak 02 naem nagned avruk irad = p 3.0 nad = n 05
.raseb hibel
uata iadnal ihuragnepmem naka isnairav naadebreP utaus aynkadit .avruk
irad tahiliD .iadnal nikames naka avruk akam ,isnairav raseb nikameS abmag 4.4 r ,
nagned avruk = p .0 3 nad = n 05 hibel aynisnairav anerak iadnal hibel tahilret
nagned avruk gnidnabid raseb = p .0 3 nad = n .02
.5 tolprettacS 5
rabmag nakapurem ini tukireB tolprettacS nagned atad kutnu = p .0 8 nad ,
05 nad 02 rasebes ayn n
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P(x)
P(x) 3 * Binom n=20 p=0.8P(x) 6 * Binom n=50 p=0.8
Variable
.4 rabmaG 5 tolprettacS nagned laimoniB isubirtsiD 0=p ialin kutnu ,8. =n nad 02 n= 05
nakrasadreB 5.4 rabmag nakgnidnabid tapad ,sata id naem isnairav nad
onib atad irad ipatet amas gnay p nagned laim
𝑛 adebreb .4 rabmag adaP . 5 avruk
nagned laimonib atad irad avruk nakapurem matih anrawreb gnay = n nad 02 p
= nagned atad irad avruk nakapurem harem anrawreb gnay nakgnades ,8.0 = n 05
nad p 8.0 patet ialin nagneD . p ipatet ,amas gnay n akam ,raseb nikames naem
uj atad isnairav nad .raseb nikames naka ag naeM nagned laimonib atad irad = p
0 8. nad = n halada 02 20.6 nakgnades naem nagned laimonib atad = p 0 8. nad = n
halada 05 64.51 . V nagned laimonib atad isnaira = p 0 8. nad = n licek hibel 02
nagned laimonib atad adapirad = p 8.0 nad = n 50. naadebreP naem naka
katel ihuragnepmem irad raseb nikameS .avruk ialin naem naka avruk akam ,
irad tahiliD .nanak ek resegreb 5.4 rabmag nagned avruk , = p 0 8. nad = n 05
nagned nanak id katelret = p .0 8 nad = n anerak 02 naem nagned avruk irad = p
.0 8 nad = n 05 .raseb hibel
71
.avruk ayngnicnur uata iadnal ihuragnepmem naka isnairav naadebreP
irad tahiliD .iadnal nikames naka avruk akam ,isnairav raseb nikameS 5.4 rabmag ,
nagned avruk = p nad 8.0 = n 05 hibel aynisnairav anerak iadnal hibel tahilret
nagned avruk gnidnabid raseb p = nad 8.0 = n .02
.2.4 isubirtsiD nossioP
ep adaP nasahabm atad ,ini reb gnay isubirtsid nossiop naktikgnabid gnay
adap erawtfos batinim nagned atad halada naem nad 4 naem atad iraD .8 gnay
naka naktikgnabid halet kutneb malad nakijasid tolprettacS . nakapurem tukireB
rabmag tad irad avruk a isubirtsidreb nossiop nagned naem nad 4 naem :8
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X
P(x)
P(x) 1 * Poisson mean=4P(x) 2 * Poisson mean=8
Variable
.4 rabmaG 6 tolprettacS isubirtsiD nosioP nagned
𝜇 nad 4=
𝜇 8=
isubirtsid adaP nossiop aynah aynretemarap naem ajas rabmag . 6.4 sata id
isubirtsidreb atad avruk nakrabmaggnem nossiop nagned naem .adebreb gnay
sisilanaid haleteS nakgnidnabid tapad , l ,tubesret avruk audek adap nad kate
nagned avruK .aynavruk kutneb naem 8 b aynavruk anam gnay harem anrawre ,
.nanak ek hibel aynkatel nad iadnal hibel kutnebreb isubirtsid adap pesnoK
nossiop pmah i agned amas r n anam gnay laimonib isubirtsid raseb nikames naem ,
.nanak ek resegreb nikames nad iadnal nikames naka avruk akam
.3.4 lamroN isubirtsiD
ep adaP nasahabm atad ,ini lamron isubirtsidreb gnay naktikgnabid gnay adap
erawtfos batinim nagned atad halada naem nagnapmis nad 0 atad nad 1 ukab
nagned naem 4 ukab nagnapmis nad 02 . nagned 2
𝑛 kaynabes .001 d aguj naD ata
nagned naem nad 1 ukab nagnapmis nad 0 nagned atad naem nagnapmis nad 02
4 ukab . nagned 2
𝑛 kaynabes .003
81
isubirtsidreb atad iraD tapad ,tubesret nakatikgnabid halet gnay lamron
kutneb malad nakijasid fael dna mets nad tolprettacS .
1.3.4 fael dna metS
nakanugid inisiD fael dna mets hadum hibel acabmep raga anerak
tad imahamem a naka mahap acabmep nakparahid aggnihes ,naktikgnabid gnay
lisah ini tukireB .ini ilak adap sahabid gnay apa tuptuo irad erawtfos batinim
.1 metS dna fo fael lamroN aem = n 1=ds 0 n 001 =
ini tukireB fael dna mets nagned lamron isubirtsid irad naem radnats nad 0
1 isaived 4 - 5577 1 81 - 00111222344444 1 63 - 555566666777889999 0
)52( - 0000111111222222233333344 0 444333211110 0 93 998877777665 0 72 4432222100 1 51 85 1 5 100 2 3
nakrasadreB fael dna mets irad naklisahid gnay batinim naksalejid tapad,
gnay molok kutnu ,fitalumuk isneukerf nakkujnunem amatrep gnay molok awhab
amatrep gnay akgna nakkujnunem audek ,)mets( adap anam gnay fael dna mets ini
gnakalebid akgna nakkujunem audek molok nad ,aynnautas akgna nakkujnunem
aynamok .)fael( katel nakkujunem amatrep molok adap gnurukid gnay akgnA
halada aynnaidem tubesret atad adaP .naidem - .52.0
.2 dna metS fo fael lamroN aem = n 2.4=ds 02
𝑛 001 =
kireB ini tu fael dna mets nagned lamron isubirtsid irad naem nad 02
:2.4 isaived radnats 100 1 3 322 1 6 5555554444444 1 91 777777776666 1 13
999999999998888888888 1 )12( 11111111100000000000 2 84 33333322222222 2 82 4444444 2 41 55 7777 2 5 8 2 1
nakrasadreB fael dna mets gnay molok ,awhab naksalejid tapad sata id
audek gnay molok kutnu ,fitalumuk isneukerf nakkujnunem amatrep
adap anam gnay ,)mets( amatrep gnay akgna nakkujnunem fael dna mets ini
gnakalebid akgna nakkujunem audek molok nad ,nahulup akgna nakkujnunem
91
( aynnautas fael katel nakkujunem amatrep molok adap gnurukid gnay akgnA .)
tad adaP .naidem .91 halada aynnaidem tubesret a
2.3.4 tolprettacS
nad naadebrep imahamem malad nakhadumem kutnU ratna nagnidnabrep a
ay nagned utas atad lamron isubirtsid adap nial gn nakanugid tapad akam ,
tolprettacS I tukireb iagabes
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X
P(x)
P(x)1 * Normal mean=0 sd=1 n 100P(x) 3 * Normal mean=20 sd=4.2 n=100
Variable
.4 rabmaG 7 tolprettacS isubirtsiD lamroN nagned =n kutnu ,001
𝜇 0= ds nad 1=
𝜇 02= ds 2.4=
halada ini tukireB tolprettacS 7.4 rabmag irad gnidnabmep iagabes II
35302520151050-5
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0.1
0.0
X
P(x)
P(x) 2 * Normal mean=0 sd=1 n=300P(x) 4 * Normal mean=20 sd=4.2 n=300
Variable
.4 rabmaG 8 tolprettacS isubirtsiD lamroN nagned =n kutnu ,003
𝜇 0= ds nad 1=
𝜇 02= ds 2.4=
8.4 nad 7.4 rabmaG isubirtsidreb atad avruk nakrabmaggnem sata id
nagned lamron naem nad isaived radnats adebreb . ,anam gnay b nakrasadre
ltoprettacS tapad ,tubesret k awhab sisilanaid nagned avru naem 02 gnay
harem anrawreb aynkatel , nanak id adareb nagned avruk naem nagned avruK .0
02
2,4 ukab nagnapmis nagnapmis nagned avruk adapirad iadnal hibel aynkutneb
1 ukab anrawreb gnay .matih anraw ini lamron isubirtsid pesnok aynranebeS
nial gnay isubirtsid nagned amas ripmah . Y ,anam gna raseb nikames ialin
adapirad naem akam , reb nikames naka avruk ada halebesid nanak aguj nad
nagnapmis raseb nikames iadnal nikames avruk akam ,ukab naikimed nagneD .
pmisid tapad nikames awhab naklu ,atad narabesrep sugab naka aynavruk akam
.sulah nikames
.4.4 isubirtsiD laitnenopxE
ini nasahabmep adaP tad a pe irad natikgnabm batinim nagned nakanugid
irad ialin nautnetek naem ad 5 ayn n ialin
𝑛 acabmep nakhadumem ragA .001 ayn
isubirtsid irad duskam imahamem kutnu laisnenopske malad nakijasid naka inisid ,
kutneb tolprettacS
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0.05
0.00
X
P(X)
.4 rabmaG 9 tolprettacS isubirtsiD nopxE e laitn nagned
𝜇 kutnu 5= =n 001
nakrasadreB 9.4 rabmag isubirtsid gnatnet laisnenopske nagned
𝑛
� 001
nad
𝜇
� nad gnukgnel sirag apureb avruk ,sata id 5 aguj tubesret avruk anam gnay
naka kadit ubmus gnuggniynem hanrep
𝑥 e ialin ada kadit anerak nenopsk gnay
isah l 0 ayn b nikames awhab naklupmisid tapad aguj avruk iraD . ialin rase
𝓍 ayn
ialin akam
𝒫
�
𝓍
� .licek nikames ayngnaulep /
12
V BAB NARAS NAD NALUPMISEK
1.5 NALUPMISEK adap nasahabmep iraD .tukireb iagabes naklupmisid tapad vi bab
.1 nad amas gnay n ialin kutnU p ialin akij ,adebreb naem nakkujnunem iuhatekid
ialin raseb nikames awhab naem .nanak ek resegreb naka aynavruk akam ayn
ikilimem anerak irik id katelret naka avruk akam ,gnaulep licek nikameS naem
nikames naka raseb nikames gnaulep iaynupmem gnay nakgnades ,licek gnay
nanak ek resegreb ialin helo ihuragnepid avruk aynkadit uata iadnaL ,ulaL .
aynisnairav adapirad ek nikameS . naka avruk akam ,aynisnairav ialin lic
avruk akam aynisnairav ialin akij aynkilabes aguj utigeb ,akij nicnur nikames
.iadnal nikames nka
ialin kutnU
𝑛 nad adebreb gnay p ialin nagned ,amas p ipatet ,amas gnay
𝑛
akam ,raseb nikames naem atad isnairav nad .raseb nikames naka aguj
naadebreP naem katel ihuragnepmem naka d ira raseb nikameS .avruk
𝑛 akam
anerak nanak ek resegreb nikames naka nad iadnal nikames naka avruk
nad isnairav ikilimem naem naka avruk akam ,aynkilabes akiJ .raseb gnay
resegreb nikames .iadnal nad irik ek
nagned avruK .2 naem .nanak ek hibel aynkatel nad iadnal hibel kutnebreb ,8
isubirtsid adap pesnoK nossiop pmah i agned amas r n gnay laimonib isubirtsid
anam raseb nikames naem nikames nad iadnal nikames naka avruk akam ,
ek resegreb .nanak
raseb nikameS .3 adapirad ialin naem reb nikames naka avruk akam , ada halebesid
nanak aguj nad .iadnal nikames avruk akam ,ukab nagnapmis raseb nikames
aguj naD nikames atad narabesrep sugab .sulah nikames naka aynavruk akam
D .4 isubirtsi aisnenopske l nagned
𝑛
� nad 001
𝜇
� gnukgnel sirag apureb avruk ,5
nad naka kadit aguj tubesret avruk anam gnay ubmus gnuggniynem hanrep
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isah gnay nenopxe ialin ada kadit anerak l 0 ayn .
2.5 NARAS
,timur haltagnas gnaulep isubirtsid gnatnet ini ilak ludom nataubneP
d naurilekek idajret kadit raga aynsisilana malad iggnit gnay naitiletek nakulrepi
22
hadum ini ludom aynitnan raga nakparahgnem siluneP .aynhalognem malad
hes saul takaraysam helo itregnemid .aynigab taafnamreb tapad aggni
AKATSUP RATFAD
.5991 .eloplaW tsitneicS & sreenignE rof scitsitatS & ytilibaborP :notsoB .9 isidE .
.llaH ecitnerP
3991 .eloplaW . akitsitatS ratnagneP .akatsuP aidemarG .TP :atrakaJ .3 isidE .
.5002..naidnaprednuoS levayaJ dna .D rimA ,lezcA .scitsitatS ssenisuB etelpmoC
warGcM ataT :ihleD weN .6 isidE - .detimiL ynapmoC gnihsilbuP lliH
naripmaL
.1 margorP nagned laimoniB isubirtsiD ataD natikgnabmeP batiniM
02=n1.0=p (P x) 02=n 3.0=p (P x) 02=n
8.0=p (P x)
1 43071072,0 7 262461,0 21 778061220,0 3 78911091,0 7 262461,0 61 204991812,0 2 18971582,0 8 793411,0 71 341463502,0 1 43071072,0 4 124031,0 61 204991812,0 3 78911091,0 2 648720,0 71 341463502,0 4 38877980,0 4 124031,0 61 204991812,0 3 78911091,0 6 936191,0 71 341463502,0 3 78911091,0 8 793411,0 71 341463502,0 4 38877980,0 5 368871,0 91 570646750,0 4 38877980,0 6 936191,0 51 225955471,0 1 43071072,0 3 406170,0 61 204991812,0 5 63129130,0 6 936191,0 81 924909631,0 1 43071072,0 7 262461,0 41 107990901,0 4 38877980,0 9 73560,0 81 924909631,0 7 54079100,0 7 262461,0 51 225955471,0 0 56675121,0 4 124031,0 71 341463502,0 1 43071072,0 21 958300,0 91 570646750,0 1 43071072,0 11 700210,0 51 225955471,0 3 78911091,0 8 793411,0 71 341463502,0 1 43071072,0 4 124031,0 51 225955471,0 4 38877980,0 6 936191,0 71 341463502,0 1 43071072,0 7 262461,0 61 204991812,0 4 38877980,0 7 262461,0 71 341463502,0 2 18971582,0 4 124031,0 31 58945450,0 2 18971582,0 5 368871,0 61 204991812,0 1 43071072,0 7 262461,0 41 107990901,0 2 18971582,0 4 124031,0 31 58945450,0 1 43071072,0 6 936191,0 71 341463502,0 3 78911091,0 21 958300,0 31 58945450,0 1 43071072,0 6 936191,0 81 924909631,0 4 38877980,0 5 368871,0 51 225955471,0 0 56675121,0 8 793411,0 61 204991812,0 1 43071072,0 6 936191,0 51 225955471,0 2 18971582,0 9 73560,0 41 107990901,0 5 63129130,0 2 648720,0 81 924909631,0 4 38877980,0 6 936191,0 71 341463502,0 3 78911091,0 5 368871,0 61 204991812,0
02=n 1.0=p (P x) 3.0=p 02=n (P x) 02=n
8.0=p (P x)
1 43071072,0 8 793411,0 81 924909631,0 3 78911091,0 7 262461,0 41 107990901,0 3 78911091,0 6 936191,0 81 924909631,0 1 43071072,0 3 406170,0 71 341463502,0 2 18971582,0 7 262461,0 41 107990901,0 3 78911091,0 5 368871,0 71 341463502,0 2 18971582,0 6 936191,0 71 341463502,0 3 78911091,0 7 262461,0 81 924909631,0 0 56675121,0 8 793411,0 61 204991812,0 6 40768800,0 9 73560,0 51 225955471,0 3 78911091,0 5 368871,0 71 341463502,0 4 38877980,0 4 124031,0 81 924909631,0 3 78911091,0 6 936191,0 01 414130200,0 4 38877980,0 6 936191,0 51 225955471,0 4 38877980,0 6 936191,0 51 225955471,0 2 18971582,0 5 368871,0 71 341463502,0 4 38877980,0 6 936191,0 71 341463502,0 1 43071072,0 7 262461,0 61 204991812,0 3 78911091,0 5 368871,0 51 225955471,0 1 43071072,0 3 406170,0 91 570646750,0 5 63129130,0 3 406170,0 61 204991812,0 3 78911091,0 4 124031,0 41 107990901,0 1 43071072,0 7 262461,0 51 225955471,0 2 18971582,0 6 936191,0 71 341463502,0 3 78911091,0 4 124031,0 41 107990901,0 2 18971582,0 5 368871,0 31 58945450,0 3 78911091,0 8 793411,0 71 341463502,0 3 78911091,0 8 793411,0 51 225955471,0 2 18971582,0 8 793411,0 71 341463502,0 4 38877980,0 4 124031,0 31 58945450,0 2 18971582,0 4 124031,0 51 225955471,0 0 56675121,0 4 124031,0 41 107990901,0 2 18971582,0 6 936191,0 11 959683700,0 1 43071072,0 6 936191,0 81 924909631,0 2 18971582,0 7 262461,0 81 924909631,0 2 18971582,0 5 368871,0 81 924909631,0 2 18971582,0 7 262461,0 61 204991812,0 1 43071072,0 8 793411,0 81 924909631,0 0 56675121,0 8 793411,0 71 341463502,0 1 43071072,0 7 262461,0 41 107990901,0 3 78911091,0 8 793411,0 61 204991812,0
02=n1.0=p (P x) 3.0=p 02=n (P x) 02=n
8.0=p (P x)
1 43071072,0 4 124031,0 51 225955471,0 2 18971582,0 7 262461,0 51 225955471,0 1 43071072,0 4 124031,0 51 225955471,0 1 43071072,0 5 368871,0 51 225955471,0 7 54079100,0 9 73560,0 21 778061220,0 1 43071072,0 5 368871,0 41 107990901,0 3 78911091,0 6 936191,0 31 58945450,0 2 18971582,0 3 406170,0 31 58945450,0 3 78911091,0 4 124031,0 51 225955471,0 1 43071072,0 5 368871,0 71 341463502,0 3 78911091,0 5 368871,0 61 204991812,0 0 56675121,0 4 124031,0 41 107990901,0 1 43071072,0 6 936191,0 51 225955471,0 6 40768800,0 7 262461,0 61 204991812,0 5 63129130,0 3 406170,0 71 341463502,0 3 78911091,0 5 368871,0 71 341463502,0 3 78911091,0 7 262461,0 81 924909631,0 2 18971582,0 3 406170,0 21 778061220,0 3 78911091,0 9 73560,0 91 570646750,0
1.0=p 05=n (P x) 3.0=p 05=n (P x) 8.0=p 05=n (P x)
9 923330,0 81 742770,0 14 904631,0 5 529481,0 41 849811,0 24 229611,0 4 509081,0 71 413890,0 54 135920,0 3 565831,0 32 486600,0 63 468940,0 6 401451,0 51 743221,0 54 135920,0 01 381510,0 12 776220,0 53 919920,0 5 529481,0 51 743221,0 53 919920,0 5 529481,0 21 38380,0 73 74570,0 3 565831,0 81 742770,0 14 904631,0 3 565831,0 61 7411,0 83 572301,0 6 401451,0 11 581060,0 93 801721,0 8 872460,0 51 743221,0 83 572301,0 3 565831,0 01 916830,0 63 468940,0 11 531600,0 91 757550,0 44 173550,0 3 565831,0 91 757550,0 83 572301,0 7 826701,0 71 413890,0 04 918931,0 6 401451,0 61 7411,0 73 74570,0
1.0=p 05=n (P x) 3.0=p 05=n (P x) 8.0=p 05=n (P x) 4 509081,0 52 634100,0 83 572301,0 7 826701,0 61 7411,0 54 135920,0 7 826701,0 02 930730,0 14 904631,0 5 529481,0 41 849811,0 44 173550,0 1 236820,0 61 7411,0 44 173550,0 4 509081,0 11 581060,0 34 210780,0 3 565831,0 51 743221,0 34 210780,0 3 565831,0 21 38380,0 83 572301,0 4 509081,0 21 38380,0 73 74570,0 8 872460,0 41 849811,0 93 801721,0 6 401451,0 41 849811,0 44 173550,0 3 565831,0 71 413890,0 34 210780,0 7 826701,0 8 989010,0 73 74570,0 4 509081,0 51 743221,0 73 74570,0 4 509081,0 41 849811,0 73 74570,0 1 236820,0 81 742770,0 93 801721,0 3 565831,0 31 710501,0 93 801721,0 5 529481,0 41 849811,0 93 801721,0 8 872460,0 81 742770,0 04 918931,0 4 509081,0 61 7411,0 14 904631,0 6 401451,0 02 930730,0 04 918931,0 3 565831,0 81 742770,0 63 468940,0 7 826701,0 61 7411,0 14 904631,0 6 401451,0 01 916830,0 04 918931,0 6 401451,0 22 118210,0 14 904631,0 4 509081,0 31 710501,0 73 74570,0 7 826701,0 41 849811,0 14 904631,0 5 529481,0 51 743221,0 93 801721,0 5 529481,0 71 413890,0 24 229611,0 3 565831,0 22 118210,0 73 74570,0 3 565831,0 41 849811,0 24 229611,0 7 826701,0 11 581060,0 04 918931,0 3 565831,0 61 7411,0 53 919920,0 6 401451,0 01 916830,0 04 918931,0 4 509081,0 61 7411,0 14 904631,0 4 509081,0 6 177100,0 44 173550,0 4 509081,0 41 849811,0 93 801721,0 4 509081,0 51 743221,0 34 210780,0 8 872460,0 51 743221,0 24 229611,0 6 401451,0 81 742770,0 54 135920,0 11 531600,0 71 413890,0 63 468940,0 6 401451,0 51 743221,0 24 229611,0
1.0=p 05=n (P x) 3.0=p 05=n (P x) 8.0=p 05=n (P x) 3 565831,0 71 413890,0 24 229611,0 4 509081,0 02 930730,0 04 918931,0 4 509081,0 61 7411,0 73 74570,0 3 565831,0 91 757550,0 04 918931,0 4 509081,0 51 743221,0 93 801721,0 5 529481,0 11 581060,0 14 904631,0 2 349770,0 11 581060,0 14 904631,0 3 565831,0 12 776220,0 93 801721,0 5 529481,0 51 743221,0 04 918931,0 5 529481,0 01 916830,0 93 801721,0 7 826701,0 31 710501,0 63 468940,0 4 509081,0 31 710501,0 34 210780,0 6 401451,0 71 413890,0 64 48210,0 6 401451,0 61 7411,0 14 904631,0 4 509081,0 81 742770,0 93 801721,0 6 401451,0 81 742770,0 14 904631,0 01 381510,0 41 849811,0 34 210780,0 7 826701,0 81 742770,0 63 468940,0 8 872460,0 31 710501,0 93 801721,0 6 401451,0 71 413890,0 83 572301,0 2 349770,0 81 742770,0 04 918931,0 7 826701,0 31 710501,0 73 74570,0 3 565831,0 61 7411,0 34 210780,0 6 401451,0 22 118210,0 14 904631,0 3 565831,0 31 710501,0 44 173550,0 7 826701,0 71 413890,0 43 263610,0 4 509081,0 51 743221,0 14 904631,0 7 826701,0 51 743221,0 34 210780,0 5 529481,0 11 581060,0 83 572301,0 4 509081,0 02 930730,0 34 210780,0 7 826701,0 51 743221,0 93 801721,0 4 509081,0 81 742770,0 54 135920,0 6 401451,0 11 581060,0 14 904631,0 4 509081,0 21 38380,0 93 801721,0 6 401451,0 71 413890,0 04 918931,0 3 565831,0 41 849811,0 83 572301,0 6 401451,0 71 413890,0 14 904631,0
.2 margorP nagned nossioP isubirtsiD ataD natikgnabmeP batiniM
4=naeM (P x ) 8=naeM (P x)
7 45950,0 8 785931,0 3 763591,0 11 91270,0 01 292500,0 7 785931,0 01 292500,0 9 770421,0 6 691401,0 8 785931,0 4 763591,0 7 785931,0 5 392651,0 01 262990,0 1 362370,0 01 262990,0 2 525641,0 8 785931,0 3 763591,0 9 770421,0 7 45950,0 3 626820,0 5 392651,0 3 626820,0 1 362370,0 11 91270,0 2 525641,0 8 785931,0 5 392651,0 4 252750,0 2 525641,0 7 785931,0 3 763591,0 9 770421,0 5 392651,0 01 262990,0 4 763591,0 8 785931,0 4 763591,0 5 406190,0 2 525641,0 9 770421,0 5 392651,0 8 785931,0 3 763591,0 8 785931,0 3 763591,0 4 252750,0 6 691401,0 11 91270,0 2 525641,0 11 91270,0 5 392651,0 31 616920,0 4 763591,0 3 626820,0 4 763591,0 3 626820,0 5 392651,0 6 831221,0 4 763591,0 11 91270,0 3 763591,0 11 91270,0 4 763591,0 7 785931,0 7 45950,0 9 770421,0 9 132310,0 51 620900,0 4 763591,0 31 616920,0 9 132310,0 5 406190,0
4=naeM (P x ) 8=naeM (P x) 3 763591,0 11 91270,0 2 525641,0 41 429610,0 3 763591,0 4 252750,0 6 691401,0 5 406190,0 4 763591,0 8 785931,0 4 763591,0 01 262990,0 4 763591,0 21 721840,0 4 763591,0 9 770421,0 6 691401,0 01 262990,0 3 763591,0 01 262990,0 5 392651,0 6 831221,0 2 525641,0 6 831221,0 2 525641,0 11 91270,0 6 691401,0 6 831221,0 6 691401,0 4 252750,0 6 691401,0 11 91270,0 3 763591,0 6 831221,0 7 45950,0 7 785931,0 4 763591,0 9 770421,0 3 763591,0 01 262990,0 2 525641,0 31 616920,0 4 763591,0 3 626820,0 4 763591,0 5 406190,0 2 525641,0 6 831221,0 0 613810,0 9 770421,0 5 392651,0 7 785931,0 2 525641,0 11 91270,0 6 691401,0 6 831221,0 5 392651,0 9 770421,0 4 763591,0 5 406190,0 6 691401,0 8 785931,0 2 525641,0 4 252750,0 4 763591,0 8 785931,0 4 763591,0 4 252750,0 4 763591,0 6 831221,0 6 691401,0 4 252750,0 2 525641,0 01 262990,0 4 763591,0 21 721840,0 4 763591,0 1 486200,0 5 392651,0 01 262990,0
4=naeM (P x ) 8=naeM (P x) 3 763591,0 7 785931,0 3 763591,0 9 770421,0 6 691401,0 3 626820,0 4 763591,0 01 262990,0 2 525641,0 6 831221,0 6 691401,0 11 91270,0 2 525641,0 21 721840,0 6 691401,0 9 770421,0 5 392651,0 01 262990,0 5 392651,0 8 785931,0 4 763591,0 7 785931,0 5 392651,0 21 721840,0 6 691401,0 41 429610,0 3 763591,0 9 770421,0 3 763591,0 5 406190,0 5 392651,0 21 721840,0 5 392651,0 7 785931,0 2 525641,0 4 252750,0 01 292500,0 4 252750,0 7 45950,0 9 770421,0 3 763591,0 8 785931,0
.3 margorP nagned lamroN isubiersiD ataD natikgnabmeP batiniM
0=naeM 1=ds003=n
(P )x 02=naeM
2.4=ds003=n
(P )x 0=naeM
1=ds001=n
(P )x 02=naeM
2.4=ds001=n
(P )x
- 1492,0 1283,0 8102,02 9490,0 - 8465,0 1043,0 0249,32 1160,0 - 8433,0 2773,0 0292,22 8180,0 0831,0 2593,0 5868,42 5840,0 - 5360,2 5740,0 0447,91 8490,0 0575,0 2833,0 8166,51 7550,0
1640,0 5893,0 9688,71 7380,0 - 4611,0 2693,0 8945,22 0970,0 - 2485,0 4633,0 8866,51 8550,0 9932,1 9481,0 2948,91 9490,0
2117,0 8903,0 8004,32 4860,0 - 2710,0 9893,0 9968,21 5220,0 6943,0 3573,0 1803,21 8710,0 - 2319,0 9262,0 1723,41 2830,0 5773,0 5173,0 1361,02 9490,0 1044,1 4141,0 4879,22 9370,0 2900,2 0350,0 6117,71 9180,0 - 3486,0 7513,0 4552,61 8360,0
- 7105,0 8153,0 4367,02 4390,0 8974,0 6553,0 5639,42 6740,0 5926,0 2723,0 1639,71 2480,0 8624,1 2441,0 1346,32 2560,0
- 7238,0 1282,0 0553,22 2180,0 7048,0 2082,0 6384,81 0980,0 - 3533,1 6361,0 8770,51 8740,0 6070,1 9422,0 0386,51 0650,0 - 2525,0 5743,0 7698,12 8580,0 - 2262,0 5583,0 5729,91 0590,0 - 4171,1 9002,0 6294,91 3490,0 3683,1 6251,0 4872,42 5650,0
9651,0 1493,0 5233,32 3960,0 1588,0 6962,0 6667,12 9680,0 8518,1 7670,0 4428,51 9750,0 - 6247,0 8203,0 4978,81 7190,0
- 9652,0 0683,0 3160,32 8270,0 - 0816,0 6923,0 1238,51 1850,0 - 5702,0 4093,0 6908,12 6680,0 0409,0 1562,0 9524,12 7980,0 - 2142,0 5783,0 5525,62 4820,0 - 1621,1 6112,0 1616,71 9080,0
6090,1 1022,0 1704,71 5870,0 - 0699,0 9242,0 0915,22 4970,0 - 3312,1 1191,0 8753,51 6150,0 8066,0 7023,0 9635,52 8930,0 - 0461,0 6393,0 3845,12 7880,0 - 6006,0 1333,0 3186,72 8710,0
0705,0 8053,0 8019,71 9380,0 - 6322,1 7881,0 8555,22 9870,0 - 9594,1 3031,0 2012,42 5750,0 2611,2 5240,0 0283,42 1550,0 - 2993,1 9941,0 9075,42 5250,0 8311,1 6412,0 4885,61 3860,0
5690,0 1793,0 8355,22 0970,0 8398,1 4660,0 4787,22 2670,0 - 5940,1 0032,0 2448,22 5570,0 4086,0 5613,0 0541,02 9490,0 - 1655,1 9811,0 4784,51 3350,0 - 9159,0 6352,0 2190,12 8190,0 - 7779,0 4742,0 3725,81 3980,0 - 9544,1 3041,0 9985,32 9560,0 - 4967,0 7692,0 2299,22 7370,0 2412,1 9091,0 7065,02 1490,0 - 3884,1 8131,0 6267,71 4280,0 - 0111,1 2512,0 7899,72 5510,0 - 8625,1 4421,0 5375,91 5490,0 9411,0 3693,0 0569,71 5480,0 - 7941,0 5493,0 0066,42 3150,0 5247,0 8203,0 2303,31 6620,0
4885,0 5533,0 4119,51 1950,0 0657,0 8992,0 1568,91 9490,0 - 8894,0 3253,0 4946,22 8770,0 - 4554,0 6953,0 4557,42 0050,0
1891,0 2193,0 5783,42 0550,0 - 2952,0 8583,0 0071,12 4190,0 6241,0 9493,0 7293,51 0250,0 2931,0 1593,0 3289,11 4510,0 8397,1 8970,0 6727,12 3780,0 - 6474,1 5431,0 6196,71 7180,0
0=naeM 1=ds003=n
(P )x 02=naeM
2.4=ds003=n
(P )x 0=naeM
1=ds001=n
(P )x 02=naeM
2.4=ds001=n
(P )x
1611,0 3693,0 5761,02 9490,0 2032,1 2781,0 6354,12 5980,0 8357,0 3003,0 0086,51 0650,0 - 7511,0 3693,0 5815,41 5040,0
- 8087,1 7180,0 2421,12 6190,0 - 8457,1 6580,0 9868,22 2570,0 3613,2 3720,0 2696,91 7490,0 - 5987,1 5080,0 5567,02 4390,0 3982,0 6283,0 1195,22 5870,0 - 3321,0 9593,0 4935,72 0910,0
- 7502,0 6093,0 4504,02 5490,0 - 2744,1 0041,0 5466,41 4240,0 8760,1 6522,0 3716,71 9080,0 2617,0 7803,0 2140,81 2580,0 4473,0 9173,0 6808,21 9120,0 2630,1 2332,0 7180,02 0590,0
- 2056,1 2201,0 5025,22 3970,0 4550,2 2840,0 1812,32 8070,0 0905,0 5053,0 8248,91 9490,0 - 7354,0 9953,0 2557,81 9090,0
- 1065,0 0143,0 0405,32 1760,0 - 7050,1 7922,0 5696,91 7490,0 9933,0 5673,0 7841,81 2680,0 6519,0 4262,0 0544,42 3450,0
- 1242,1 5481,0 6714,21 6810,0 - 8642,0 0783,0 2603,02 7490,0 - 9166,0 5023,0 7724,31 9720,0 - 2287,0 8392,0 5599,61 5370,0 - 1995,0 4333,0 8580,02 0590,0 9004,0 1863,0 5784,41 1040,0
2671,1 8991,0 4628,91 9490,0 - 6461,0 6393,0 6319,51 2950,0 1144,0 0263,0 1078,22 2570,0 - 8608,0 1882,0 1417,91 8490,0 5696,0 0313,0 2366,91 7490,0 7463,0 3373,0 4352,71 7670,0
- 8132,0 4883,0 9426,72 3810,0 6453,0 6473,0 3799,02 3290,0 5722,1 8781,0 4033,61 8460,0 - 3720,0 8893,0 8963,12 1090,0
- 1371,0 0393,0 4573,81 1880,0 - 7285,0 6633,0 1496,91 7490,0 - 0436,0 3623,0 2993,71 4870,0 1524,0 5463,0 5387,02 3390,0 - 0302,0 8093,0 3116,52 9830,0 7540,0 5893,0 2533,02 7490,0 - 2920,1 9432,0 8534,71 8870,0 - 3852,0 9583,0 7408,51 7750,0 - 6057,0 0103,0 9156,51 6550,0 - 1915,1 8521,0 7089,81 2290,0
0111,0 5693,0 0416,71 8080,0 - 3793,0 7863,0 0621,91 0390,0 - 7300,0 9893,0 0253,62 3030,0 - 6619,0 1262,0 9054,91 2490,0 - 3024,1 5541,0 0055,42 8250,0 - 9794,1 9921,0 8674,02 4490,0
0492,2 7820,0 8773,41 8830,0 - 2435,0 9543,0 3447,21 4120,0 1701,0 7693,0 8103,61 5460,0 - 4674,1 1431,0 8508,02 3390,0
- 0155,1 8911,0 1521,91 9290,0 - 2778,0 5172,0 4683,71 3870,0 2930,0 6893,0 0450,62 6330,0 - 1493,0 1963,0 5493,41 0930,0
- 6317,0 3903,0 2428,22 8570,0 8481,0 2293,0 5187,61 8070,0 9360,0 1893,0 6224,71 7870,0 - 5611,1 9312,0 0239,22 4470,0
- 0864,1 8531,0 6325,62 4820,0 - 2900,1 7932,0 1018,91 9490,0 - 2585,0 2633,0 4357,02 5390,0 - 7972,0 6383,0 7385,01 7700,0
3160,1 2722,0 6185,71 5080,0 - 0053,0 2573,0 0143,81 9780,0 5361,1 7202,0 3527,32 1460,0 - 7871,0 6293,0 2595,01 7700,0 6601,1 3612,0 4817,82 0110,0 - 5702,1 4291,0 9256,71 3180,0
- 1116,0 0133,0 0945,11 5210,0 0350,2 5840,0 1244,81 7880,0
0=naeM 1=ds003=n
(P )x 02=naeM
2.4=ds003=n
(P )x 0=naeM
1=ds001=n
(P )x 02=naeM
2.4=ds001=n
(P )x
- 7960,0 0893,0 8509,32 6160,0 - 2033,0 8773,0 3900,51 9640,0 - 4998,0 2662,0 3682,11 0110,0 - 7780,0 4793,0 4777,02 4390,0
9921,0 6593,0 3938,52 1630,0 - 1316,0 6033,0 3237,41 3340,0 - 9882,0 6283,0 6298,42 2840,0 - 9223,0 7873,0 7411,42 8850,0
2372,1 4771,0 1819,02 7290,0 - 1525,0 6743,0 7931,12 6190,0 - 5434,0 0363,0 9967,41 7340,0 8097,0 8192,0 7762,52 3340,0 - 5843,1 7061,0 7970,71 6470,0 9447,0 3203,0 6551,81 3680,0
3284,0 1553,0 9770,42 3950,0 - 2940,0 5893,0 1700,82 4510,0 - 4323,0 6873,0 3831,02 9490,0 - 3982,1 8371,0 0689,72 6510,0 - 0348,2 0700,0 2490,32 4270,0 - 5866,0 1913,0 2701,12 7190,0
8318,1 0770,0 3093,81 3880,0 7492,1 5271,0 5526,71 0180,0 3565,1 2711,0 0081,02 9490,0 - 8242,0 4783,0 9922,22 5280,0
- 2273,0 2273,0 1638,02 1390,0 - 8175,1 0611,0 5406,81 9980,0 9701,3 2300,0 0158,81 5190,0 7622,0 8883,0 6226,91 6490,0 3996,0 4213,0 6328,12 4680,0 8695,1 5111,0 2378,32 1260,0 4773,0 5173,0 4342,22 4280,0 - 9082,0 5383,0 4561,32 5170,0
- 3057,1 2680,0 0693,51 1250,0 - 7323,0 6873,0 9266,81 3090,0 1831,0 2593,0 9955,12 7880,0 1394,1 9031,0 6844,52 9040,0 8592,0 9183,0 7874,61 8660,0 8151,1 5502,0 9089,31 0430,0
- 6701,3 2300,0 4042,81 0780,0 - 6926,1 7501,0 8913,81 7780,0
7801,0 6693,0 9156,13 0200,0 - 6703,0 5083,0 0994,91 3490,0 - 1348,1 0370,0 3705,02 3490,0
8187,0 9392,0 5822,12 0190,0 - 5285,1 1411,0 2131,81 0680,0 - 8926,1 7501,0 3557,42 0050,0
1924,0 8363,0 8601,81 8580,0 1784,0 3453,0 9894,22 6970,0
- 5980,0 3793,0 3555,52 6930,0 9702,1 3291,0 6997,22 1670,0
- 3710,0 9893,0 8861,32 5170,0 0826,0 6723,0 3597,71 8280,0
- 8860,1 4522,0 9016,81 9980,0 - 6736,0 6523,0 9482,91 6390,0
2214,0 4663,0 6144,71 9870,0 9073,1 9551,0 9263,81 0880,0 7549,0 1552,0 4224,91 1490,0
0=naeM 1=ds003=n
(P )x 02=naeM
2.4=ds003=n
(P )x
0343,1 9161,0 1352,22 3280,0 0593,0 0963,0 2157,02 5390,0 5705,0 7053,0 9548,11 4410,0
- 3274,1 0531,0 9884,01 3700,0 - 2642,0 0783,0 1324,52 3140,0
4731,0 2593,0 7657,22 6670,0 8971,0 5293,0 8979,32 6060,0
- 4165,0 8043,0 0494,62 7820,0 4202,0 9093,0 0440,01 7500,0
- 1273,0 3273,0 7932,91 4390,0 6998,0 2662,0 4244,12 5980,0
- 0160,0 2893,0 3153,32 1960,0 - 3107,0 0213,0 3399,51 3060,0
6931,0 1593,0 0618,22 9570,0 - 9195,0 8433,0 9845,32 5660,0 - 4320,0 8893,0 1399,91 0590,0 - 3079,0 2942,0 7737,22 8670,0
7670,0 8793,0 2698,61 3270,0 1402,1 2391,0 3302,02 9490,0 9871,2 2730,0 8471,82 3410,0
- 1421,1 1212,0 9681,12 3190,0 - 9670,1 4322,0 6676,41 5240,0
7498,0 3762,0 5133,12 3090,0 4842,1 0381,0 3532,02 8490,0 6532,0 0883,0 7077,61 7070,0
- 3311,1 7412,0 9675,91 5490,0 - 3861,1 6102,0 7457,31 4130,0 - 4162,0 5583,0 6789,62 8320,0
4279,0 7842,0 6626,51 2550,0 - 3421,0 9593,0 4016,22 3870,0 - 8723,0 1873,0 8034,91 1490,0 - 7049,0 3652,0 5601,81 8580,0
9531,0 3593,0 8535,41 7040,0 3765,1 8611,0 8566,22 7770,0 1102,1 9391,0 6166,81 3090,0
- 4835,0 1543,0 3490,32 4270,0 - 1822,1 7781,0 8609,02 8290,0
1058,0 0872,0 6830,91 5290,0 - 0017,0 1013,0 1287,71 6280,0 - 5585,0 1633,0 2142,71 6670,0
0=naeM 1=ds003=n
(P )x 02=naeM
2.4=ds003=n
(P )x
- 6121,0 0693,0 7685,91 5490,0 8806,0 5133,0 8799,71 8480,0 2435,0 9543,0 5620,32 3370,0 0603,2 9720,0 0735,71 0080,0
- 5738,1 8370,0 8055,81 5980,0 9252,0 4683,0 5873,12 0090,0
- 8001,1 7712,0 7358,81 5190,0 4386,0 9513,0 9268,12 1680,0 1595,0 2433,0 0498,22 9470,0
- 9070,2 7640,0 0118,22 9570,0 - 8544,0 2163,0 9058,31 5230,0 - 5772,2 8920,0 2054,02 4490,0
7013,2 6720,0 7086,41 6240,0 0301,2 7340,0 4160,81 4580,0
- 0475,0 4833,0 0993,22 7080,0 0755,0 6143,0 9084,02 4490,0
- 0097,1 4080,0 3056,23 0100,0 - 5862,2 4030,0 5426,91 6490,0 - 4823,1 1561,0 4535,81 4980,0
3736,0 6523,0 2738,12 3680,0 - 5285,0 7633,0 9994,81 1980,0
5319,1 0460,0 8763,12 1090,0 - 2626,0 9723,0 5592,52 9240,0
9195,0 8433,0 8575,8 3200,0 9370,0 9793,0 9141,71 4570,0 0060,0 2893,0 3338,71 2380,0 5732,0 8783,0 7487,12 8680,0
- 7312,1 0191,0 3066,22 7770,0 3492,2 7820,0 4150,12 1290,0 2221,1 5212,0 7096,11 4310,0
- 7471,0 9293,0 9660,61 3160,0 - 8407,2 3010,0 5466,52 3830,0
6526,0 0823,0 0571,71 8570,0 1625,0 4743,0 3607,02 7390,0
- 7971,0 6293,0 4924,81 6880,0 - 6994,0 1253,0 8887,51 5750,0 - 8143,0 3673,0 8013,81 6780,0
2246,1 6301,0 4558,31 6230,0 7484,0 7453,0 3134,91 1490,0
- 8802,0 3093,0 1177,71 5280,0
0=naeM 1=ds003=n
(P )x 02=naeM
2.4=ds003=n
(P )x
5042,1 8481,0 1018,01 7800,0 7221,1 4212,0 8580,32 5270,0
- 2571,0 9293,0 3851,31 2520,0 - 6901,0 6693,0 0187,91 9490,0 - 5584,0 6453,0 5355,61 8760,0 - 2645,1 7021,0 6369,31 8330,0 - 5185,0 9633,0 4512,91 3390,0
8762,0 9483,0 3396,72 7710,0 4952,0 7583,0 7664,71 2970,0 7157,0 8003,0 2091,12 2190,0 4903,0 3083,0 9526,22 1870,0 0622,1 2881,0 1391,81 6680,0
- 5222,1 0981,0 3751,12 4190,0 - 1555,0 0243,0 6150,22 3480,0 - 5132,1 9681,0 2870,61 4160,0 - 5101,0 9693,0 1263,72 4020,0 - 2840,2 0940,0 8928,42 0940,0 - 6927,0 7503,0 2412,11 7010,0 - 6630,0 7893,0 8744,11 9110,0
5545,1 8021,0 0893,51 1250,0 6419,0 6262,0 1484,02 4490,0
- 2579,1 7650,0 6759,32 9060,0 4070,0 0893,0 8700,91 4290,0 7990,1 9712,0 6817,21 1120,0
- 9873,0 3173,0 0241,72 4220,0 - 1734,0 6263,0 8974,02 4490,0 - 0411,1 5412,0 2976,12 7780,0
4912,2 0430,0 6256,81 2090,0 - 9345,0 1443,0 9511,41 6530,0
7938,0 4082,0 3253,41 5830,0 3834,1 8141,0 1638,81 4190,0 2058,0 9772,0 1234,22 3080,0
- 1890,1 3812,0 5177,41 8340,0 0157,0 9003,0 4630,52 3640,0
- 1510,1 3832,0 8155,22 0970,0 - 5367,0 1892,0 4475,02 1490,0
9778,1 4860,0 1120,22 6480,0 2873,0 4173,0 3827,12 3780,0
- 9969,0 2942,0 1992,12 5090,0 2280,1 1222,0 2704,52 5140,0
0=naeM 1=ds003=n
(P )x 02=naeM
2.4=ds003=n
(P )x
- 6704,0 1763,0 4422,81 9680,0 1270,1 6422,0 1090,91 8290,0 7275,0 6833,0 7976,42 1150,0
- 6910,0 9893,0 1920,12 2290,0 6742,0 9683,0 6837,81 8090,0
- 2177,0 3692,0 1347,71 2280,0 - 2212,0 1093,0 5023,51 1150,0
5482,0 1383,0 7192,21 6710,0 3470,1 0422,0 9822,31 9520,0
- 5736,0 6523,0 3696,12 5780,0 - 7605,0 9053,0 6289,01 5900,0 - 8416,1 3801,0 7122,81 8680,0 - 8872,0 7383,0 3186,12 7780,0 - 3068,0 5572,0 6692,42 3650,0
8209,1 3560,0 7028,12 5680,0 - 7885,0 5533,0 0931,32 8170,0 - 4615,0 1943,0 8670,32 6270,0 - 4321,0 9593,0 7188,11 7410,0
3585,1 5311,0 4485,61 2860,0 - 0744,0 0163,0 6558,32 3260,0 - 3894,0 4253,0 3081,22 0380,0
5466,2 5110,0 4943,22 2180,0 5611,0 2693,0 4157,81 9090,0 2806,1 5901,0 0672,52 2340,0 3845,0 3343,0 1367,9 9400,0
- 5142,0 5783,0 3458,81 5190,0 2825,0 0743,0 4466,71 4180,0
- 4116,2 2310,0 2536,22 0870,0 9408,1 3870,0 6471,5 2000,0 8734,0 5263,0 1138,32 7260,0
- 0165,0 9043,0 1353,12 2090,0 4147,0 1303,0 1871,81 5680,0 4593,1 7051,0 5413,62 7030,0
- 7634,0 7263,0 9516,62 5720,0 - 7369,1 0850,0 7729,82 9900,0 - 7498,0 4762,0 4791,22 8280,0 - 7431,2 9040,0 1120,51 0740,0
6388,0 0072,0 8915,91 4490,0 - 5153,0 0573,0 5047,02 5390,0
0435,0 9543,0 7691,52 2440,0
0=naeM 1=ds003=n
(P )x 02=naeM
2.4=ds003=n
(P )x
- 1528,0 8382,0 4663,91 9390,0 - 4922,0 6883,0 3616,12 2880,0 - 7561,1 2202,0 8953,21 2810,0 - 2125,0 3843,0 1062,02 8490,0
4240,1 7132,0 3318,9 0500,0 7773,0 5173,0 1090,22 9380,0
- 9936,0 1523,0 9033,32 4960,0 4609,0 6462,0 8157,61 4070,0
- 3976,1 4790,0 1947,91 8490,0 - 5930,1 4232,0 5354,31 2820,0
3970,0 7793,0 3663,51 7150,0 - 8556,0 8123,0 6758,81 5190,0
.4 isubirtsiD ataD natikgnabmeP laitnenopxE margorP nagned batiniM
5=naeM01=n )x(P 5=naeM
01=n )x(P 5=naeM01=n )x(P
40781,4 75680,0 57849,1 54531,0 83769,31 42210,0 55156,71 68500,0 38870,2 79131,0 22950,31 86410,0 73594,01 15420,0 37412,6 17750,0 10287,0 40171,0 11950,2 94231,0 70004,5 29760,0 93296,0 41471,0 38532,8 25830,0 34742,1 48551,0 66367,4 41770,0 29890,2 44131,0 75687,2 55411,0 49871,6 21850,0 09231,2 55031,0 92578,6 65050,0 08767,0 35171,0 96036,0 03671,0 50831,1 92951,0 68185,3 07790,0 56573,6 88550,0 72274,9 80030,0 26662,31 80410,0 24602,01 79520,0 45957,21 95510,0 08427,0 10371,0 02541,0 82491,0 51692,2 53621,0 56229,31 53210,0 78179,9 22720,0 17048,3 77290,0 27213,21 40710,0 17404,1 10151,0 48310,0 54991,0 41941,11 15120,0 56357,9 34820,0 82706,0 31771,0 38784,1 25841,0 26857,6 67150,0 76017,41 55010,0 67432,1 42651,0 65740,81 14500,0 31511,5 09170,0 57482,5 05960,0 01353,7 69540,0 36124,1 05051,0 26162,21 22710,0 45868,7 64140,0 90451,8 51930,0 39885,01 60420,0 41022,8 46830,0 37291,4 74680,0 39411,0 64591,0 66024,41 81110,0 23011,1 71061,0 85600,1 35361,0 51577,1 32041,0 30298,0 23761,0 71867,2 79411,0 22433,01 23520,0 65228,0 66961,0 04683,3 06101,0 34248,1 63831,0 80469,1 30531,0 72751,9 40230,0 69877,0 51171,0 82297,5 97260,0 80282,1 67451,0 50068,3 24290,0 58002,1 03751,0 24047,2 16511,0 97097,0 47071,0 95465,31 72310,0 64325,4 39080,0 63547,11 90910,0 95931,4 93780,0 46406,2 97811,0 60004,8 72730,0 40797,7 50240,0 87794,7 56440,0 57005,2 92121,0 14057,4 43770,0 59777,83 90000,0 39635,4 27080,0 30152,8 04830,0 43868,7 64140,0 70305,9 09920,0 81916,5 10560,0 77121,2 48031,0 94555,1 35641,0 45689,01 22220,0 16304,4 09280,0 19934,9 82030,0 88077,6 36150,0 24082,7 36640,0 25110,1 73361,0
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