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1、APStatisticsReviewIII–ProbabilityFirst,getoutyourAPformulasheetandcheckouttheformulasintheprobabilitysection.ThebasicsSupposeP(A)=.35,P(B)=.6andP(AÇB)=.27.Determinea.__________P(Ac)(AcrepresentsthecomplementofA)b.__________P(AÈB)c.__________P(A
2、B)d.__________areAandBindepen
3、dentevents?(yesorno)Example1:Supposetheprobabilitythataconstructioncompanywillbeawardedacertaincontractis.25,theprobabilitythatitwillbeawardedsecondcontractis.21,andtheprobabilitythatitwillgetbothcontractsis.13.Whatistheprobabilitythatthecompanywillwinatleastoneofthetwocont
4、racts?Example2:Aresearcherinterestedineyecolorversussuccessinamathprogramcollectedthefollowingdatafromarandomsampleof2000highschoolstudents.brownbluefail19010200pass171090180019001002000a)Whatistheprobabilitythatastudentfromthisgroupfailsthemathprogram?b)Whatistheprobabilit
5、ythatastudentfromthisgroupfailsthemathprogramgiventhathe/shehasblueeyes?c)Areblueeyesandfailingthemathprogramindependentordependent?Example3:Ofthe60obeseteenagersinarecentstudy,15hadtypeIIdiabetes,20hadhighbloodpressure,and10hadbothhighbloodpressureandtypeIIdiabetes.Suppose
6、oneofthese60obeseteenagersisrandomlyselected.(pjs)a)GiventhattheteenagerhastypeIIdiabetes,whatistheprobabilitythatheorshealsohashighbloodpressure?b)IftheobeseteenagerdoesNOThavehighbloodpressure,whatistheprobabilitythatheorshealsodoesnothavetypeIIdiabetes?Example4:Theprobab
7、ilitythatMichaelmissesafreethrowshotis.1.Ifhegoestothelinetoshootthreefreethrows(duetoafoulonathree-pointshot),(pjs)a)WhatistheprobabilitythatMichaelmissesallthreeshots?Whatassumptionsdidyoumakeinordertocalculatethisprobability?b)WhatistheprobabilitythatMichaelmakesatleasto
8、neofthethreeshots?c)WhatistheprobabilitythatMichaelmakesthefirstshotbutnotthesecondorthird?Example5:Ofthe10,000freshmanattheUniversityofTexas,7000musttakeEnglish,6000musttakeHistory,and5000musttakeboth.Supposethatastudentisrandomlyselected.a)Whatistheprobabilitythattheselec
9、tedstudentmusttakeEnglish?b)Whatistheprobabilitythattheselectedstudentmusttakeboth
