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1、7姓名学号学院专业座位号(密封线内不答题)……………………………………………………密………………………………………………封………………………………………线……………………………………线………………………………………_____________________…诚信应考,考试作弊将带来严重后果！华南理工大学期末考试《概率统计（双语）》试卷A2010－2011学年度上学期注意事项：1.考前请将密封线内各项信息填写清楚；2.所有答案请答在试卷,答题卷上。3．考试形式：闭卷；满分：100分4．考试时间120分钟。题号123总
2、分分值256015得分评卷人1．FILLINGTHEBLANKS(25points)(1)Afaircoinwasflipped3timesandlandedtails3times,theprobabilityoftwotailsonthenexttwotossesis___________.(2)IftheprobabilitydensityofarandomvariableXisgivenby,___________,theprobabilityforXtotakeavaluebetween0.5and1.5i
3、s___________.(3)SupposeD(X)=36,D(X-Y)=62,D(X+Y)=42.Thenthecorrelationcoefficient___________.(4)Ifarandomvariablehasmeanandstandarddeviation《》试卷第7页共7页7,Chebyshev’stheoremtellusthat___________.(5)SupposeY=3X+1,,Thus___________.(6)IfP(A)=2/3,P(B)=1/2,andP(B
4、A)=1/
5、3,P(A
6、B)=___________..(7)Letbeavariablefollowinganexponentialdistributionwithmean,thedensityfunctionofis___________.2.COMPUTATIONS:(60points)(1).Aboxcontainsthreebluecardsandfourwhitecards.Twocardsaredrawnoneatatime.(a)Findtheprobabilitythatbothcardsareblueift
7、hedrawsaremadewithreplacement.(b)Findtheprobabilitythatbothcardsareblueifdrawsaremadewithoutreplacement.(2).Asupermarketisdoinganadcompaignbyorganizingaluckyraffledrawforevery100purchasers.Therulesisthateveryonewritehisownnameonacard,putthecardintoalotterybox,
8、thusthereare100namesinthebox.Noweveryonedrawacardfromtheboxwithoutreplacement,onebyone.Theonewhodrawthecardwithhisownnamegeta50%discountonthepurchasing.Whatistheprobabilitythatnoonewillgetthediscount?(Assumethatthe100purchasershavedifferentnames.)《》试卷第7页共7页7(3
9、).Sarahasacollectionof7books:WarandPeace,Steppenwolf,OneHundredYearsofSolitude,HuckleberryFinn,LordoftheFlies,TheOldManandtheSea,TheGrapesofWrath.Ifsherandomlyselectsthreeofherbookstoreadinsequencethismonth,whatistheprobabilitythatshewillreadWarandPeace,Steppe
10、nwolf,andOneHundredYearsofSolitudeinthatorder?(4).Aprisoneristrappedinacellcontaining4doors.Fori=1;2;3,theithdoorleadstoatunnelthatreturnshimtohiscellafteridaystravel.Thefourthdoor
