chap05-TIF-BSAFC5

136DiscreteProbabilityDistributionsCHAPTER5:DISCRETEPROBABILITYDISTRIBUTIONS1.Thirty-sixofthestaffof80teachersatalocalintermediateschoolarecertifiedinCardio-PulmonaryResuscitation(CPR).In180daysofschool,abouthowmanydayscanweexpectthattheteacheronbusdutywilllikelybecertifiedinCPR?a)5daysb)45daysc)65daysd)81daysANSWER:dTYPE:MCDIFFICULTY:ModerateKEYWORDS:binomialdistribution,mean2.Acampusprogramevenlyenrollsundergraduateandgraduatestudents.Ifarandomsampleof4studentsisselectedfromtheprogramtobeinterviewedabouttheintroductionofanewfastfoodoutletonthegroundfloorofthecampusbuilding,whatistheprobabilitythatall4studentsselectedareundergraduatestudents?a)0.0256b)0.0625c)0.16d)1.00ANSWER:bTYPE:MCDIFFICULTY:DifficultKEYWORDS:binomialdistribution3.Aprobabilitydistributionisanequationthata)associatesaparticularprobabilityofoccurrencewitheachoutcomeinthesamplespace.b)measuresoutcomesandassignsvaluesofXtothesimpleevents.c)assignsavaluetothevariabilityinthesamplespace.d)assignsavaluetothecenterofthesamplespace.ANSWER:aTYPE:MCDIFFICULTY:ModerateKEYWORDS:probabilitydistributionCopyright©2010PearsonEducation,Inc.PublishingasPrenticeHallDiscreteProbabilityDistributions1374.Theconnotationexpectedvalueorexpectedgainfromplayingrouletteatacasinomeansa)theamountyouexpecttogainonasingleplay.b)theamountyouexpecttogaininthelongrunovermanyplays.c)theamountyouneedtobreakevenovermanyplays.d)theamountyoushouldexpecttogainifyouarelucky.ANSWER:bTYPE:MCDIFFICULTY:EasyKEYWORDS:expectedvalue5.Whichofthefollowingaboutthebinomialdistributionisnotatruestatement?a)Theprobabilityofeventofinterestmustbeconstantfromtrialtotrial.b)Eachoutcomeisindependentoftheother.c)Eachoutcomemaybeclassifiedaseithereventofinterestornoteventofinterest.d)Therandomvariableofinterestiscontinuous.ANSWER:dTYPE:MCDIFFICULTY:EasyKEYWORDS:binomialdistribution,properties6.Inabinomialdistributiona)therandomvariableXiscontinuous.b)theprobabilityofeventofinterestπisstablefromtrialtotrial.c)thenumberoftrialsnmustbeatleast30.d)theresultsofonetrialaredependentontheresultsoftheothertrials.ANSWER:bTYPE:MCDIFFICULTY:EasyKEYWORDS:binomialdistribution,properties7.Wheneverp=0.5,thebinomialdistributionwilla)alwaysbesymmetric.b)besymmetriconlyifnislarge.c)beright-skewed.d)beleft-skewed.ANSWER:aTYPE:MCDIFFICULTY:ModerateKEYWORDS:binomialdistribution,propertiesCopyright©2010PearsonEducation,Inc.PublishingasPrenticeHall138DiscreteProbabilityDistributions8.Wheneverp=0.1andnissmall,thebinomialdistributionwillbea)symmetric.b)right-skewed.c)left-skewed.d)Noneoftheabove.ANSWER:bTYPE:MCDIFFICULTY:ModerateKEYWORDS:binomialdistribution,properties9.Ifn=10andp=0.70,thenthemeanofthebinomialdistributionisa)0.07b)1.45.c)7.00d)14.29ANSWER:cTYPE:MCDIFFICULTY:EasyKEYWORDS:binomialdistribution,mean10.Ifn=10andp=0.70,thenthestandarddeviationofthebinomialdistributionisa)0.07b)1.45c)7.00d)14.29ANSWER:bTYPE:MCDIFFICULTY:EasyKEYWORDS:binomialdistribution,standarddeviation11.IftheoutcomesofarandomvariablefollowaPoissondistribution,thentheira)meanequalsthestandarddeviation.b)medianequalsthestandarddeviation.c)meanequalsthevariance.d)medianequalsthevariance.ANSWER:cTYPE:MCDIFFICULTY:EasyKEYWORDS:Poissondistribution,mean,standarddeviation,propertiesCopyright©2010PearsonEducation,Inc.PublishingasPrenticeHallDiscreteProbabilityDistributions13912.Whattypeofprobabilitydistributionwilltheconsultingfirmmostlikelyemploytoanalyzetheinsuranceclaimsinthefollowingproblem?Aninsurancecompanyhascalledaconsultingfirmtodetermineifthecompanyhasanunusuallyhighnumberoffalseinsuranceclaims.Itisknownthattheindustryproportionforfalseclaimsis3%.Theconsultingfirmhasdecidedtorandomlyandindependentlysample100ofthecompany’sinsuranceclaims.Theybelievethenumberofthese100thatarefalsewillyieldtheinformationthecompanydesires.a)binomialdistribution.b)Poissondistribution.c)normaldistribution.d)noneoftheabove.ANSWER:aTYPE:MCDIFFICULTY:DifficultKEYWORDS:binomialdistribution,properties13.Whattypeofprobabilitydistributionwillmostlikelybeusedtoanalyzewarrantyrepairneedsonnewcarsinthefollowingproblem?Theservicemanagerforanewautomobiledealershiprevieweddealershiprecordsofthepast20salesofnewcarstodeterminethenumberofwarrantyrepairshewillbecalledontoperforminthenext90days.Corporatereportsindicatethattheprobabilityanyoneoftheirnewcarsneedsawarrantyrepairinthefirst90daysis0.05.Themanagerassumesthatcallsforwarrantyrepairareindependentofoneanotherandisinterestedinpredictingthenumberofwarrantyrepairshewillbecalledontoperforminthenext90daysforthisbatchof20newcarssold.a)binomialdistribution.b)Poissondistribution.c)normaldistribution.d)noneoftheabove.ANSWER:aTYPE:MCDIFFICULTY:DifficultKEYWORDS:binomialdistribution,propertiesCopyright©2010PearsonEducation,Inc.PublishingasPrenticeHall140DiscreteProbabilityDistributions14.Whattypeofprobabilitydistributionwillmostlikelybeusedtoanalyzethenumberofchocolatechippartspercookieinthefollowingproblem?ThequalitycontrolmanagerofMarilyn’sCookiesisinspectingabatchofchocolatechipcookies.Whentheproductionprocessisincontrol,theaveragenum