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Exam 1 - Problems

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    NAME

    Last name, First name

    HONOR CODE: The students in this group individually and collechonesty, and ethical behavior during the group exercise. We, theand abide by the following rules:• We will not give or receive unpermitted aid in work that is to•  The work that we report here is based on the sole contributions• We have not and will not discuss anything about this exercise

    are released• While the faculty alone has the right and obligation to set acad

    to establish optimal conditions for honorable academic work• "iolations of the above code will be reported to the o#ce of th

    faculty and the $ean%s o#ce.

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    SECTION #: ___________

     

    SC ID

     A!!"ication Eam $

    ively accept the responsibility for maintaining integrity,tudents (with printed names below) agree to fully understand

    be used by the instructor as the basis of grading from the undersigned group members

      ith members outside our group till the grades for this exercise

    mic re!uirements, the students and faculty will work together

    $ean and will lead to penalties to be determined by the

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    &roblem &oints 'core

    * +

    + +

    - +

    * /ol. 0 1 +* /ol. 2 1 +

    * /ol. 3 1 +

    /ols. 4 and 5 + +

    /ol. 6 +

    1 1 +

    7 /ell 8 1 +

    7 /ell 9 1 +

    7/ell -+ 1 +

    + +

    +

     Total +

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    What is the median salary; %&$,'('

    ou must reference the values in your formulas.

    ro-"em $: ?ur company has *++ employees as of today. Their salaries are listright.

    ro-"em .: 2ow many employees work in the 6arketing $epartment and haveof at least @+,+++; >our answer in cell /-+ must be an Axcel formula that produ

    number.

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    Amployee Bame $epartment

    4ristina 2. /hung 2uman Cesources

    &aige 2. /hen 2uman Cesources

    'herri A. 6elton 6arketing

    0retchen 3. 2ill ?perations

    4aren D. &uckett ?perations&atrick ?. 'ong ?perations

    Alsie . 2amilton 2uman Cesources

    2aEel A. ender 2uman Cesources

    6alcolm . Wagner ccounting

    $olores /. 6c5aughlin 6arketing

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    2arvey B. Dnderwood ccounting

    William ?. Fones ccounting

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     Foann T. 'tout 2uman Cesources

    Connie ?. /owan

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    Beal 5. 0lover 6arketing

    6artin 3. "ick 6arketing

     Fack G. ?G$onnell ?perations

    "incent ?. 0oldman ?perations

    eth /. 6c4enna 2uman Cesources

    6ilton T. 'tarr ?perations

     Tamara T. 'tone ?perations6itchell /. 6c/lure 2uman Cesources

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     Fudy C. ranch ccounting

    /lyde 2. Thornton ccounting

     Timothy /. 6cBeill

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    . yers ccounting

    Wendy 2. /herry ?perations

    5ucille 3. Cichmond 6arketing

    "irginia ?. >ork ccountingruce 3. Wiley ccounting

    6arc 2arrington 2uman Cesources

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    0eoHrey A. Ceed ccounting

     TiHany . Bash

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    'alary

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     @ 8-,71

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    @ 78,*81

    @ 7,+8

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     @ 8,8-

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    @ 17,-77

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    @ 8,9+

    @ 87,97@ 11,9

    @ 9,78

    @ 78,1-+

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     @ 81,*+

    @ 8,1-+

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    @ 77,9

    @ 78,778

    @ 17,9-+@ 19,--

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    @ 78,*7*

    @ 8+,99

    @ -,+1

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    @ 8,-7*

    @ 18,

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     @ 1*,18

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     @ -,718

    @ 19,789

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    Name Age /en0er n0ergra01ate

    $ipesh $esai -* 6ale >es

    4ristina 2. /hung * 6ale >es

    &aige 2. /hen -1 6ale >es

    'herri A. 6elton -+ 6ale >es

    0retchen 3. 2ill *7 6ale Bo

    4aren D. &uckett - es

    &atrick ?. 'ong - 6ale >es

    Alsie . 2amilton * es

    2aEel A. ender * es

    es

    'andy . Caynor * es

    6arion ?. 6oon -* 6ale Bo

    eth ?. Woodard -8 6ale >es

     Fulia A. $esai -8 6ale >es

     Ferome . Wallace *8 esBeal . 5awrence *8 es

    4ristine ?. $ougherty - es

    lex . 6ay -* es

    Aric T. 'teele *9 es

    Wesley A. Teague *8 6ale >es

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    Wayne ?. /onnolly *- es

    eth . Walton *7 es

    Arica . 2all *- es

    $ouglas ?. Coss *- es

    $onald 2. /hung *9 6ale >es

    4atherine A. ender * 6ale >es

    &aul ?. Woods *1 es

    &atricia . 6angum ** es

    5ois ?. Foseph * 6ale >es5ouis ?. Cosenthal *1 6ale >es

    /hristina ?. owden *+ es

    William ?. Fones *+ 6ale Bo

    es

    'ara D 5ucas * es

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    'tacy . Aason * 6ale >es

    0ladys . $avidson *- es

    6ike 2. Whitehead -* 6ale Bo

    5ynne ?. Cose *+ 6ale >es

    es

    lison /. 'carborough * 6ale >es

    'herri D. 'utton - 6ale >es

    &atsy 3. 'inclair *- 6ale Bo

    4elly ?. owman *-

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    6artin D. Fustice -+ 6ale >es

     Toni 5. 0lass * es

    eth 3. Willis *- es

     Fessica A. 2ester ** 6ale Bo

    'amantha 5.

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    6ark A. ecker -1 es

    5ouis ?. Collins -* es

     Fanet ?. 5ove *7 6ale Bo

    5eo $. dkins ** 6ale Bo

    /onstance 5. lack -1 es

    'arah ?. es

    2aEel 5. 5loyd *9 6ale >es

     Ferome ?. Foyce -

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    es

    6arvin . &arrott -- es

    lex A. 2enry -9 es

    lexander C. 0ray -7 6ale >es

    6arsha 2. /hang * es

    6onica ?. $odson -7 6ale >es

     Fustin &. 'pencer *8 6ale Bo

    6argaret D. urgess -- es

     Foanna 3. 6iddleton *1 6ale >es

    'tacy C. es

     Fanice A. Ceid * esrian C. raswell -7 6ale >es

     Fuan T. 'teele - 6ale >es

    5eroy ?. $onovan -8 es

     Tommy . arrett *7 6ale >es

    lice . Bance *8 es

    dam . Washington *1

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     Fan C. rown *+ 6ale Bo

    5illian ?. olton -9 es

    llen C. /raven - es

    shley A. 2endrix -* 6ale >es

    3an 3. Bichols -8

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    /ra01ate

     >es * + $ipesh $esai

    Bo + + Bo

    Bo - + Bo

    Bo 7 'herri A. 6elton

    Bo + + Bo

     >es + + 4aren D. &uckett

     >es - + &atrick ?. 'ong

     >es + Alsie . 2amilton

    Bo 1 + 2aEel A. ender

     >es + 6alcolm . Wagner

    Bo $olores /. 6c5aughlin

     >es 1 es + + 'andy . Caynor

    Bo * + Bo

    Bo + + Bo

     >es + + Fulia A. $esai

     >es + Ferome . WallaceBo 7 + Beal . 5awrence

     >es - + Fean C. 0ri#n

    Bo + Bo

    Bo 7 /rystal ?. &owers

     >es * + lex . 6ay

    Bo 1 + Aric T. 'teele

    Bo Wesley A. Teague

    Bo * + Bo

    Bo 7 /laire . 0allagher

    Bo 6arian ?. 'olomon >es 7 6arcia . Walsh

    Bo 1 $wight ? 6onroe

    3or4E!erience

    Ma"e an0 at"east .25

    6$7*8

    /ra01ste 0egree or at"east + 9ears or4

    e!erience

      o have applied for an engineering Iob at K>Jcopy them down.

    answer to both !uestions is yes, enter +

    n each of these, answer the name of the

    f work experience;years of work experience;

    distribution for the ages for the applicants fore fre!uency for ea ch age.

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    Bo 1 + Wayne ?. /onnolly

    Bo + Bo

    Bo 1 Beal 3. 6iddleton

    Bo 7 0retchen ?. 0oldstein

    Bo 7 + Tim . Watts

    Bo 1 Ferome ?. Fohnston

     >es - + 'helley A. WeeksBo + Bo

     >es Alsie . arton

     >es + eth . Walton

    Bo + Arica . 2all

     >es 7 + $ouglas ?. Coss

    Bo + + Bo

    Bo + Bo

    Bo 7 + &aul ?. Woods

     >es 1 + &atricia . 6angum

    Bo * + BoBo 7 5ouis ?. Cosenthal

    Bo + + Bo

    Bo 7 + $arlene . arton

     >es + 2arvey B. Dnderwood

    Bo * + Bo

     >es * + es 1 + Fason C. /ross

    Bo + Bo

    Bo 0retchen ?. 2olmes

    Bo + Bo

    Bo 0lenda ?. 6organ

    Bo 1 + 'cott ?. 2oyle

    Bo + &at 5. llen

    Bo + Bo

    Bo - + Bo

    Bo - + Bo

    Bo 1 6elinda C. &roctor

     >es + /alvin 3. $iaE

    Bo + + Bo

    Bo - + Bo >es * + 5uis 3. 2inton

    Bo + Bo

    Bo * + Bo

    Bo * + Bo

    Bo Batalie . Walton

     >es * + /aroline G. ?Grien

    Bo 1 + rlene . /ase

    Bo + Bo

    Bo * + Bo

    Bo - + BoBo 'amantha . 2ardin

    >es 1 + 'ara D 5ucas

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    Bo - + Bo

    Bo + 0ladys . $avidson

    Bo + Bo

     >es + 5ynne ?. Cose

    Bo 7 + es 7 'herri D. 'utton

    Bo 1 &atsy 3. 'inclair

    Bo + Bo

    Bo + Bo

    Bo + Bo

    Bo * + Bo

    Bo 7 + Fennifer 2. /hristian >es 7 + rett . 5amb

     >es + randon . Fames

    Bo * + Bo

    Bo + Bo

    Bo + + Bo

    Bo - + Bo

     >es 7 0ene ?. owling

    Bo + + Bo

     >es - + 0eoHrey 5. /lapp

    Bo 1 + &atricia . brams

    Bo 1 + Fennifer 3. Tilley

    Bo + Bo

     >es + 'hawn ?. oykin

    Bo * + Bo

    Bo - + Bo

    Bo + Bo

    Bo + Bo

    Bo - + Bo

     >es + Foan /. 6cllister

    Bo * + Bo

    Bo 1 + $anny >. yrneBo &eggy /. 'chroeder

    Bo 7 + 5eslie C. 0ri#n

     >es - + 6arshall C. 0ross

    Bo 7 + 'ara A. &erkins

    Bo + + Bo

     >es + Fack . &almer

    Bo 1 0ayle C. rady

    Bo 1 enIamin ?. Cowe

     >es - + Coberta 2. Jhang

     >es 1 + &atricia ?. 2odgeBo 1 + /liHord 3. 5i

    Bo + Foanne ? owling

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     >es + 6artin D. Fustice

     >es * + Toni 5. 0lass

     >es + eth 3. Willis

    Bo Fessica A. 2ester

    Bo 7 + 'amantha 5. es + + $ianne ?. Borman

    Bo - + Bo

     >es - + Tamara D. 2unt

    Bo 1 6ary >. yrd

    Bo + Bo

    Bo 7 + FeH . 4aplan

    Bo * + Bo

    Bo * + Bo

     >es - + Caymond A. Fennings

    Bo + + BoBo * + Bo

    Bo + 4athy ?. 2olloway

    Bo * + Bo

     >es 7 + Beal 5. 0lover

    Bo * + Bo

     >es + Fack G. ?G$onnell

    Bo 7 "incent ?. 0oldman

    Bo eth /. 6c4enna

     >es + 6ilton T. 'tarr

    Bo + Tamara T. 'tone

    Bo - + Bo

    Bo + Bo

     >es 7 5eroy ?. 6onroe

     >es 1 0len . bbott

    Bo + Bo

     >es 1 lice . 2all

    Bo 7 + ruce . es + + Cobert A. Ceid

    Bo - + Bo

    Bo * + Bo

    Bo &eggy ?. 2obbs

    Bo - + Bo

     >es 1 $oris 3. 4inney

    Bo + Bo

     >es * + 4ristin 5. lexanderBo * + Bo

    >es + + Tracey Waters

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     >es + + 6ark A. ecker

     >es - + 5ouis ?. Collins

    Bo 1 Fanet ?. 5ove

    Bo * + Bo

    Bo + /onstance 5. lack

    Bo 7 + 'arah ?. es * + 0ladys . 2atcherBo + Bo

     >es 2aEel 5. 5loyd

    Bo - + Bo

    Bo 7 "incent A. Welch

     >es + 4im . 6atthews

     >es - + Foseph 2. /happell

     >es 7 + lison . 6ac$onald

    Bo 1 + Aric . 4ane

    Bo * + Bo

    Bo 7 + /laire 3. &ickettBo + 6ichele ?. owman

    Bo 7 + Terry . arton

     >es 1 + 4en A. 4ennedy

    Bo 1 + Fudy C. ranch

     >es 7 /lyde 2. Thornton

    Bo 7 + Timothy /. 6cBeill

    Bo + + Bo

    Bo - + Bo

     >es + illie ?. 6oss

    Bo + 4atharine D. 5ucas

    Bo * + Bo

    Bo 7 + Fohnny . /arlton

     >es - + shley C. rady

    Bo - + Bo

    Bo * + Bo

    Bo - + Bo

     >es 1 + /harlene T. 'tevenson

    Bo + + Bo

    Bo - + Bo

     >es 1 en A. West

    Bo + + BoBo + 'arah . arr

     >es 1 + rett B. 'nyder

    Bo - + Bo

    Bo 1 + Cebecca A. 2eath

     >es + 0lenda ?. oswell

    Bo * + Bo

    Bo 1 + $on 3. &ittman

     >es 7 0regory A. Weiner

     >es - + Candy A. &etersen

    Bo - + BoBo - + Bo

    Bo 1 'idney A Terrell

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     >es 7 + es + 6arvin . &arrott

    Bo 1 + lex A. 2enry

     >es + + lexander C. 0ray

    Bo - + BoBo * + Bo

    Bo * + Bo

    Bo 1 + 6elinda A. Weeks

    Bo + + Bo

    Bo + + Bo

    Bo + + Bo

     >es * + Adna ?. 2oyle

    Bo - + Bo

    Bo + &enny A. Beal

    Bo + + Bo >es 7 + rthur ?. 0oldman

     >es + Wesley 2. 'haHer

     >es 1 + llison 2. /hoi

    Bo - + Bo

    Bo - + Bo

    Bo + Feremy ?. 2ouse

    Bo * + Bo

    Bo + + Bo

     >es + 5ucy 3. $ickinson

    Bo + Bo

     >es * + Bancy ?. 2obbs

    Bo 7 6onica ?. $odson

    Bo 7 Fustin &. 'pencer

    Bo - + Bo

    Bo * + Bo

     >es - + 6iriam ?. Wong

    Bo * + Bo

    Bo 1 /hristopher /. 6c4ay

     >es 1 Foanna 3. 6iddleton

     >es + 'tacy C. es 1 + Fanice A. CeidBo + + Bo

    Bo Fuan T. 'teele

     >es + 5eroy ?. $onovan

    Bo 1 Tommy . arrett

    Bo + Bo

    Bo - + Bo

    Bo 7 5arry ?. Cogers

    Bo - + Bo

     >es + 5awrence 3. 6iles

     >es 1 + 0len C. 4ramer >es + + "alerie A. Fennings

    Bo + + Bo

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    Bo 1 Fan C. rown

    Bo + + Bo

    Bo * + Bo

     >es + shley A. 2endrix

    Bo * + Bo

    Bo + Bo

    Bo $onna A. 5ehman >es * + /atherine 2. 'herrill

    Bo 1 + 5ester . /ash

    Bo - + Bo

    Bo 1 Bancy D. 'ullivan

    Bo + 0ail 2. Whitehead

     >es 7 + 5loyd . 6ack

    Bo 7 + $onna 3. Cice

     >es + 4ay >. yers

    Bo 7 + Wendy 2. /herry

    Bo + 5ucille 3. CichmondBo - + Bo

    Bo - + Bo

    Bo - + Bo

    Bo + Bo

    11 8

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    &roblem &oints 'core /omments

    * /ol. 0 1

    * /ol. 2 1

    * /ol. 3 1

    /ols. 4 and 5 +

    /ol. 6

    ;ins Fre

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    Bo

    Bo

    Bo

    0retchen ?. 0oldstein

     Tim . Watts

     Ferome ?. Fohnston

    BoBo

    Alsie . arton

    Bo

    Arica . 2all

    $ouglas ?. Coss

    Bo

    Bo

    &aul ?. Woods

    &atricia . 6angum

    5ois ?. Foseph5ouis ?. Cosenthal

    Bo

    $arlene . arton

    Bo

    Bo

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    Bo

    0ladys . $avidson

    Bo

    Bo

    Bo

    $iana ?. 6oore

    BoBo

    'teve C. 0raves

    Bo

    'herri D. 'utton

    Bo

    Bo

    Bo

    Bo

    $ana /. 6c5ean

     Fennifer 2. /hristianrett . 5amb

    Bo

    Bo

    Bo

    Bo

    Bo

    0ene ?. owling

    Bo

    Bo

    &atricia . brams

    Bo

    Bo

    'hawn ?. oykin

    "incent D. 'umner

    Bo

    Bo

    Bo

    Bo

    Bo

    etty /. 6c4enEie

    $anny >. yrne&eggy /. 'chroeder

    Bo

    Bo

    'ara A. &erkins

    Bo

    Bo

    0ayle C. rady

    enIamin ?. Cowe

    Bo

    &atricia ?. 2odgeBo

    Bo

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    Bo

     Toni 5. 0lass

    Bo

    Bo

    Bo

     Fimmy C. 0raves

    BoBo

    Bo

    Bo

    Bo

    Bo

     FeH . 4aplan

    'andra A. 2eller

    4atie . 6ay

    Bo

    BoBatalie ?. 5ocklear

    Bo

    Bo

    Beal 5. 0lover

    Bo

    Bo

    "incent ?. 0oldman

    Bo

    Bo

     Tamara T. 'tone

    Bo

    Bo

    5eroy ?. 6onroe

    0len . bbott

    Bo

    lice . 2all

    Bo

    Bo

    Bo

    Bo

    BoBo

    Bo

    Bo

    Bo

    'tephen 3.

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    Bo

    Bo

    Bo

    Bo

    /onstance 5. lack

    'arah ?.

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    Bo

    Bo

    llen C. /raven

    Bo

    Bo

    Bo

    $onna A. 5ehman/atherine 2. 'herrill

    Bo

    Bo

    Bancy D. 'ullivan

    0ail 2. Whitehead

    5loyd . 6ack

    $onna 3. Cice

    4ay >. yers

    Bo

    BoBo

    Bo

    Bo

    Bo

    1

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    +.+1********

    +.+17777777

    +.+********

    +.+1

    +.+1********

    +.+

    +.+1********

    +.+1********

    +.+7777777

    +.+-7777777

    +.+-7777777

    +.+17777777

    +.+8

    +.+*7777777

    +.+-7777777

    +.+7

    +.+7777777+.+7777777

    +.+7

    +.+1********

    +

    Re"ativeFre

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    /ost per bag /ost per child

    @1+ @-1

    /ustomer group N of adults N of bags N of children

    -8 -

    *7 - +

    *7- - +

    *71 - -

    *-1 -

    ** +*1*1 * 1

    -818 - +

    ***

    **- - * +

    -8+- - -

    *** - +

    -- - * +

    *+ +

    ro-"em (: Aach of rows -O-1 contains data on a customer group:number of bags, and the number of children. /ells /+ and $+ listper child, and the range A+O3 lists the cost per adult for each pcopyable formula in cell A- that can be used to Lll the entire rangecost for each customer group on each possible Pight date.

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    &roblem 1 &oints 'core

    1

    /ost per adult on each date

    @18 @7 @1*8 @-9 @1*9 @+

    1QQ-+* 1Q-Q-+* 1Q*Q-+* 1QQ-+* 1Q1Q-+* 1Q7Q-+*

    %$,2)$ %$,.&& %$,+*$ %$,$'2 %$,+*2 %$,$2=

    %)$' %(&) %)2' %(.= %)2= %(*&

    %$,.2) %$,$(. %$,.&) %$,*(' %$,.&' %$,*$+

    %$,+') %$,+*. %$,(.) %$,2*' %$,(.' %$,.)+

    %$,2)$ %$,.&& %$,+*$ %$,$'2 %$,+*2 %$,$2=

    %()' %(.) %('' %+&= %('= %+(&%$,=.= %$,'*2 %$,='= %$,)). %$,==. %$,(=)

    %)$' %(&) %)2' %(.= %)2= %(*&

    %)=2 %)($ %&$2 %)*+ %&$+ %('.

    %$,$') %$,$*. %$,..) %$,**' %$,..' %=)+

    %$,.)$ %$,$&& %$,2*$ %$,*'2 %$,2*2 %$,*2=

    %)$' %(&) %)2' %(.= %)2= %(*&

    %$,$') %$,$*. %$,..) %$,**' %$,..' %=)+

    %()' %(.) %('' %+&= %('= %+(&

    the number of adults, thehe cost per bag and the costssible Pight date. Anter aA-:3-1 to calculate the total

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    /omments

    @11+ @9 @1 @79 @*- @1* @1*7

    1QQ-+* 1Q8Q-+* 1Q9Q-+* 1Q+Q-+* 1QQ-+* 1Q-Q-+* 1Q*Q-+*

    %$,+.( %$,2$2 %$,+$= %$,.)2 %$,$'= %$,2== %$,2=&

    %)(* %(=+ %)+& %()= %(2. %)2& %)2)

    %$,2** %$,$'' %$,.=+ %$,$2' %$,*)+ %$,.&+ %$,.&.

    %$,((* %$,+2' %$,(++ %$,2'' %$,2$+ %$,(.+ %$,(..

    %$,+.( %$,2$2 %$,+$= %$,.)2 %$,$'= %$,2== %$,2=&

    %)** %(++ %(=& %($= %+'. %('& %(')%.,*.( %$,'(& %.,*$) %$,&'. %$,)&$ %$,=') %$,='2

    %)(* %(=+ %)+& %()= %(2. %)2& %)2)

    %&.( %))= %&.. %)++ %)*& %&$. %&$$

    %$,.(* %$,$2' %$,.++ %$,*'' %$,*$+ %$,..+ %$,...

    %$,2.( %$,.$2 %$,2$= %$,$)2 %$,*'= %$,.== %$,.=&

    %)(* %(=+ %)+& %()= %(2. %)2& %)2)

    %$,.(* %$,$2' %$,.++ %$,*'' %$,*$+ %$,..+ %$,...

    %)** %(++ %(=& %($= %+'. %('& %(')

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    @1 @1++ @1*8 @8- @97 @1 @*

    1QQ-+* 1Q1Q-+* 1Q7Q-+* 1QQ-+* 1Q8Q-+* 1Q9Q-+* 1Q-+Q-+*

    %$,2(= %$,2.( %$,+*$ %$,.'= %$,2$& %$,2(= %$,$($

    %)$& %)** %)2' %('. %(=) %)$& %($2

    %$,.2+ %$,.** %$,.&) %$,$)+ %$,$=. %$,.2+ %$,*.)

    %$,+'+ %$,+(* %$,(.) %$,+$+ %$,++. %$,+'+ %$,.&)

    %$,2(= %$,2.( %$,+*$ %$,.'= %$,2$& %$,2(= %$,$($

    %()& %((* %('' %(2. %(+) %()& %+)2%$,=.) %$,'&( %$,='= %$,'.$ %$,')2 %$,=.) %$,)$+

    %)$& %)** %)2' %('. %(=) %)$& %($2

    %)=. %)&( %&$2 %)(& %)&$ %)=. %(''

    %$,$'+ %$,$(* %$,..) %$,$$+ %$,$+. %$,$'+ %=&)

    %$,.(= %$,..( %$,2*$ %$,$'= %$,.$& %$,.(= %$,*($

    %)$& %)** %)2' %('. %(=) %)$& %($2

    %$,$'+ %$,$(* %$,..) %$,$$+ %$,$+. %$,$'+ %=&)

    %()& %((* %('' %(2. %(+) %()& %+)2

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    @1+* @1 @+8 @9- @+9 @8 @97

    1Q-Q-+* 1Q--Q-+* 1Q-*Q-+* 1Q-Q-+* 1Q-1Q-+* 1Q-7Q-+* 1Q-Q-+*

    %$,22$ %$,2(= %$,$+$ %$,2*= %$,$+2 %$,$)$ %$,2$&

    %)*2 %)$& %(*' %(=. %(*= %($' %(=)

    %$,.*) %$,.2+ %$,*$) %$,$'+ %$,*$' %$,*2) %$,$=.

    %$,+() %$,+'+ %$,.)) %$,+2+ %$,.)' %$,.') %$,++.

    %$,22$ %$,2(= %$,$+$ %$,2*= %$,$+2 %$,$)$ %$,2$&

    %((2 %()& %+(' %(+. %+(= %+)' %(+)%$,''+ %$,=.) %$,(== %$,'($ %$,)*. %$,).= %$,')2

    %)*2 %)$& %(*' %(=. %(*= %($' %(=)

    %)&' %)=. %('2 %))& %('+ %(=2 %)&$

    %$,$() %$,$'+ %=)) %$,$2+ %=)' %=') %$,$+.

    %$,.2$ %$,.(= %$,*+$ %$,.*= %$,*+2 %$,*)$ %$,.$&

    %)*2 %)$& %(*' %(=. %(*= %($' %(=)

    %$,$() %$,$'+ %=)) %$,$2+ %=)' %=') %$,$+.

    %((2 %()& %+(' %(+. %+(= %+)' %(+)

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    @1 @11+ @8 @78

    1Q-8Q-+* 1Q-9Q-+* 1Q*+Q-+* 1Q*Q-+*

    %$,2(= %$,+.( %$,.'$ %$,.)$

    %)$& %)(* %(&' %()'

    %$,.2+ %$,2** %$,$() %$,$2)

    %$,+'+ %$,((* %$,+*) %$,2')

    %$,2(= %$,+.( %$,.'$ %$,.)$

    %()& %)** %(.' %($'%$,=.) %.,*.( %$,'*= %$,&&=

    %)$& %)(* %(&' %()'

    %)=. %&.( %)(2 %)+2

    %$,$'+ %$,.(* %$,$*) %$,*')

    %$,.(= %$,2.( %$,$'$ %$,$)$

    %)$& %)(* %(&' %()'

    %$,$'+ %$,.(* %$,$*) %$,*')

    %()& %)** %(.' %($'

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    +.+-1The Ioint probability that a rando

    +.*The marginal probability that a ra

    +.-77-9+*-* The conditional probability that a

    /ount O &ayment Type Time

    Cegion fternoon Avening 6orning Tota" Res1"t6idWest 7.1+R .1R 7.1+R $&>&(?

    BorthAast -.++R 8.1+R 8.-1R .'>&(?'outh 9.1R 7.1R 7.1R .2>.(?West +.-1R +.1+R 9.1+R 2*>.(?

    Tota" Res1"t 2'>(*? 2*>(*? 2$>**? $**>**?

    ro-"em ): The data set on the $ata sheet lists information about ++ custfrom this data set. /lick on the table to create a pivot table that shows theDse this table to Lnd the three probabilities shown below. To get each probare!uested value and then co!9 t@e a!!ro!riate !ivot ta-"e ce"" an0 !a

    /ell 8: The Ioint probability that a randomly selected transaction will be i/ell 9: The marginal probability that a randomly selected transaction will/ell -+: The conditional probability that a transaction carried out in the no

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    ly selected transaction will be in the West in the afternoon.

    ndomly selected transaction will be in the morning.

    transaction carried out in the northeast will be done in the morning.

    &roblem 7 &oints 'core

    omer transactions. pivot table has been created belowumber of transactions done by region and time of day.bility, manipulate the pivot table so that you can see thete it s!ecia" as a va"1e to t@e s!ecie0 ce"" -e"o .

    the West in the afternoon.  be in the morning.

    rtheast will be done in the morning.

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    /omments

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    Date Da9 Time Region a9ment T9!e /en0er Tota" Cost

    7O6ar Tue 6orning West "isa

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    -+O6ar Tue fternoon 'outh 6astercard

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    *Opr Tue Avening West /ash 6ale @*8.+

    Opr Wed 6orning BorthAast "isa 6ale @++.+-

    Opr Wed 6orning West 6astercard

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    Opr Tue fternoon BorthAast "isa

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    -O6ay Wed Avening West "isa

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    1O6ay Tue fternoon BorthAast "isa 6ale @.9

    1O6ay Tue Avening 6idWest 6astercard

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    *+O6ay Wed Avening 'outh "isa

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    OFun Thu Avening West /ash 6ale @--.1

    1OFun

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    -1OFun 6on fternoon BorthAast "isa

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    Corre"ation Matri

    3nvestment 3nvestment - 3nvestment *

    3nvestment

    3nvestment - O+.9

    3nvestment * +.-9 +.+

    3nvestment O+.*8 +.- O+.*+

    To investments -est Bor @e0ging

    3nvestment and 3nvestment

    &roblem &oints 'core /omments

    +

    ro-"em &: 2edging is a techni!ue that can used to reduce investment risk. 3correlation between the returns of two investments. The larger the magnitude will work.

    . ased on the returns of four investments in the data set shown here, calccells of the matrix below.

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    Ann1a" ret1rns oB Bo1r i

    3nvestment >ear 3nvestment

    -+ O.*R

    -++ +.-+R

    -++9 .8*R

    -++8 .97R

    -++ O8.9R-++7 +.+R

    -++1 O-.1R

    -++ O+.*R

    -++* O9.-7R

    -++- O7.*9R

    -++ O7.9R

    -+++ O*.77R

    999 O-.*R

    998 .98R

    99 7.R

    997 -.89R

    991 .-8R

    t works when there is a negative of the correlation, the better hedging

    late the correlations in the shadedtween the returns for investments

    ; Anter their two indexes in cells /-

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    vestments

    3nvestment - 3nvestment * 3nvestment

    O8.9R O.7R O+.1R

    O+.79R O+.1+R -.17R

    -.7R 7.+R O1.88R

    O-.77R *.+8R O*.*R

    7.R O.+-R *.8RO1.R .-9R O.R

    O8.*-R O9.**R O8.8*R

    7.R O1.*R O.88R

    9.1R O1.-R O*.*R

    O-.--R *.79R O.**R

    1.1R 9.R 1.-R

    9.8R O.*R .1*R

    7.88R *.1R 7.8R

    .8+R O8.+R O.+R

    +.R 8.R O8.+R

    O8.1R .*1R O.7*R

    O+.11R O9.91R O-.-R