Solution manual for applied statistics 5th edition

AppliedhStatisticshandhProbabilityhforhEngineers,h5thhedition




Solution_Manual_for_Applied_Stat


CHAPTERh2

Sectionh2-1


ProvidehahreasonablehdescriptionhofhthehsamplehspacehforheachhofhthehrandomhexperimentshinhExercisesh2-1htoh2-
17.hTherehcanhbehmorehthanhonehacceptablehinterpretationhofheachhexperiment.hDescribehanyhassumptionshyouhmake.

2-1. Eachhofhthreehmachinedhpartshishclassifiedhasheitherhabovehorhbelowhthehtargethspecificationhforhthehpart.hLeth ahandhb
denotehahparthabovehandhbelowhthehspecification,hrespectively.


S aaah,haabh,habah,habbh,hbaah,hbabh,hbbah,hbbb

2-2. Eachhofhfourhtransmittedhbitshishclassifiedhasheitherhinherrorhorhnothinherror.

Lethehandhohdenotehahbithinherrorhandhnothinherrorh(ohdenoteshokay),hrespectively.


eeeeheeeoh,h,heoeeheoeoh,h,hoeeehoeeoh,h,hooeeh ooeoh,,

S

eeoeh,heooeh,hoeoeh,hoooeh,

eeooh,heoooh,hoeooh,hoooo

2-3.
Inhthehfinalhinspectionhofhelectronichpowerhsupplies,heitherhunitshpass,horhthreehtypeshofhnonconformitieshmightho
ccur:hfunctional,hminor,horhcosmetic.hThreehunitsharehinspected.

Lethahdenotehanhacceptablehpowerhsupply.
Lethf,hm,handhchdenotehahpowerhsupplyhthathhashahfunctional,hminor,horhcosmeticherror,hrespectively.h
Shah,hfh,hmh,hc

2-4. Thehnumberhofhhitsh(views)hishrecordedhathahhigh-volumehWebhsitehinhahday.


S 0,1,2,... =hsethofhnonnegativehintegers
2-5. Eachhofh24hWebhsiteshishclassifiedhashcontaininghorhnothcontaininghbannerhads.

Lethyhandhnhdenotehahwebhsitehthathcontainshandhdoeshnothcontainhbannerhads.
Thehsamplehspacehishthehsethofhallhpossiblehsequenceshofhyhandhnhofhlengthh24.hAnhexamplehoutcomehinhthehsamplehspacehis




2-1

,AppliedhStatisticshandhProbabilityhforhEngineers,h5thhedition


S yynnynyyynhnynynnnnyyhnnyy


2-6. Anhammeterhthathdisplayshthreehdigitshishusedhtohmeasurehcurrenthinhmilliamperes.

Ahvectorhwithhthreehcomponentshcanhdescribehthehthreehdigitshofhthehammeter.hEachhdigithcanhbeh0,1,2,...,

9.hThehsamplehspacehShish1000hpossiblehthreehdigithintegers,hS 000h,001h,...,h999

2-7. Ahscalehthathdisplayshtwohdecimalhplaceshishusedhtohmeasurehmaterialhfeedshinhahchemicalhplanthinhtons.

Shishthehsamplehspacehofh100hpossiblehtwohdigithintegers.

2-
8.hThehfollowinghtwohquestionshappearhonhanhemployeehsurveyhquestionnaire.hEachhanswerhishchosenhfromhthehfivehp
ointhscaleh1h(never),h2,h3,h4,h5h(always).

Ishthehcorporationhwillinghtohlistenhtohandhfairlyhevaluatehnewhideas?hH
owhoftenharehmyhcoworkershimportanthinhmyhoverallhjobhperformance?

Lethanhorderedhpairhofhnumbers,hsuchhash43hdenotehthehresponsehonhthehfirsthandhsecondhquestion.hThen,hShconsist
shofhtheh25horderedhpairsh 1h1,12,h.h.h.h,55
2-9. Thehconcentrationhofhozonehtohthehnearesthparthperhbillion.


S 0h,1,2,...,1Eh09 inhppb.

2-10. Thehtimehuntilhahservicehtransactionhishrequestedhofhahcomputerhtohthehnearesthmillisecond.


S 0h,1,2h,..., inhmilliseconds


2-11. ThehpHhreadinghofhahwaterhsamplehtohthehnearesthtenthhofhahunit.


S 1h.0h,1h.1,1h.2h,hh14h.0


2-12.
Thehvoidshinhahferritehslabharehclassifiedhashsmall,hmedium,horhlarge.hThehnumberhofhvoidshinheachhcategor
yhishmeasuredhbyhanhopticalhinspectionhofhahsample.

Leths,hm,handhlhdenotehsmall,hmedium,handhlarge,hrespectively.hThenhSh=h{s,hm,hl,hss,hsm,hsl,h….

}h2-13 Thehtimehofhahchemicalhreactionhishrecordedhtohthehnearesthmillisecond.


S 0h,1,2h,..., inhmilliseconds.


2-
14.hAnhorderhforhanhautomobilehcanhspecifyheitherhanhautomatichorhahstandardhtransmission,heitherhwithhorhwithouthair
hconditioning,handhwithhanyhonehofhthehfourhcolorshred,hblue,hblack,horhwhite.hDescribehthehsethofhpossiblehordershforhth

ishexperiment.




2-2

,AppliedhStatisticshandhProbabilityhforhEngineers,h5thhedition


automatic standard
htransmission
htransmissio
n




with with without
hair without hair hair
hair




redhbluehblackhhhh white redhbluehblack whitehhhhhh redhbluehblack white redhbluehblack white




2-15.hAhsampledhinjection-
moldedhparthcouldhhavehbeenhproducedhinheitherhonehofhtwohpresseshandhinhanyhonehofhtheheighthcavitieshinheachhpress.



PhRESh 1
S 2




Ch AVITY




1h h 2h h 3 4 5 6hhhh 7hhhhh 8 1 2 3 4 5 6 7 8
2-16.
Anhorderhforhahcomputerhsystemhcanhspecifyhmemoryhofh4,h8,horh12hgigabyteshandhdiskhstoragehofh200,h300,horh
400hgigabytes.hDescribehthehsethofhpossiblehorders.




memory
4 8 12




diskhstorage


200 300 400 200 300 400 200 300 400




2-17. Callsharehrepeatedlyhplacedhtohahbusyhphonehlinehuntilhahconnectionhishachieved.

Lethchandhbhdenotehconnecthandhbusy,hrespectively.hThenhSh=h{c,hbc,hbbc,hbbbc,hbbbbc,h…}


2-18.
Threehattemptsharehmadehtohreadhdatahinhahmagnetichstoragehdevicehbeforehanherrorhrecoveryhprocedurehthathrepositi
onshthehmagnetichheadhishused.hTheherrorhrecoveryhprocedurehattemptshthreehrepositioningshbeforehanh“abort’’hmessag
ehishsenthtohthehoperator.hLet

shdenotehthehsuccesshofhahreadhoperationhf
denotehthehfailurehofhahreadhoperation




2-3

, AppliedhStatisticshandhProbabilityhforhEngineers,h5thhedition


Shdenotehthehsuccesshofhanherrorhrecoveryhprocedur
ehFhdenotehthehfailurehofhanherrorhrecoveryhprocedur
ehAhdenotehanhaborthmessagehsenthtohthehoperator

Describehthehsamplehspacehofhthishexperimenthwithhahtreehdiagram.


S sh, fsh,hffsh,hfffSh,hfffFSh,hfffFFSh,hfffFFFA

2-19. ThreeheventsharehshownhonhthehVennhdiagramhinhthehfollowinghfigure:




Reproducehthehfigurehandhshadehthehregionhthathcorrespondshtoheachhofhthehfollowinghevents.

(a)hA hhhhh (b)hA B A B C (d) B C (e) A B C
(c)h(a)




(b)




(c)




2-4