Distribusi Peluang

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


=p 05 ................................ ................................ ................................ .................. 51


=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


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



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


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


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

;

𝑝

�

0

,

8

.2 ialin nagned amatrep gnay ataD

𝑛

�

05 ialin kutnu

𝑝

�

0

.

1

;

𝑝

�

0

.

3

;

𝑝

�

0

,

8

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


batinim tuptuO launam nagnutihreP

M nae 64.51 51 isnairaV 93990.11 01


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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X

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


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


nagned = p 1.0 .05 nad 02 rasebes ayn n nad ,

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X

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)


Variable



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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X

P(x)


Variable



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


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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0.0

X

P(x)

P(x) 2 * Normal mean=0 sd=1 n=300P(x) 4 * Normal mean=20 sd=4.2 n=300

Variable


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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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

𝑥

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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