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1、江西财经大学09－10学年第二学期期末考试试卷答案试卷代码：12104A授课课时：64(考试时间150分钟)课程名称：概率论ProbabilityandStatistics适用对象：2008级国际学院试卷命题人刘满凤试卷审核人1.Fillintheblanks(3points×5=15points)(1)IfA,Bareindependentevents,and,then0.8(2)Ifrandomvector(X,Y)hasuniformdistributiononrectangleregion,thenthejointpdf(probabilitydensityfunction)of(
2、X,Y)is(3)AsampleX1,X2,…,Xnaredrawnfromthepopulation,isthesamplemean,then(4)IfrandomvariableXhasthepmf(probabilitymassfunction),then(5)IfrandomvariableXhasthepdf,X1,X2,…,XnisasampledrawnfromthepopulationX,thenthemomentestimatorofis2.Therearefourchoicesineachquestion,butonlyoneiscorrect.Youshouldcho
3、osethecorrectoneintotheblank.(3points×5=15points)(1)If,and,then(c)a.b.c.d.(2)IfXisarandomvariable,isaconstant,then(b)a.b.c.d.(3)AsampleX1,X2,…,Xnaredrawnfromthepopulation,isunknown,thenthe【第5页共5页】biasedestimatorofis(b)a.；b.；c.；d.(4)IfX,Yarerandomvariables,and,thenthesufficientandnecessarycondition
4、withX,Yuncorrelatedis(b)a.b.c.X,Yareindependentvariablesd.X,Yaredependentvariables(5)AsampleX1,X2,…,X16aredrawnfromthepopulation，arethesamplemeanandsamplestandarddeviation,respectively,,areunknown,thentheconfidenceintervalofis(d)a.,b.,c.,d.3.(10points)Atelephonecompanyemploysfiveinformationoperato
5、rswhoreceiverequestsforinformationindependentlyofoneanother,eachaccordingtoaPoissonprocesswithrateperminute.a.whatistheprobabilitythatduringagiven1-minperiod,thefirstoperatorreceivesnorequests?b.whatistheprobabilitythatduringagiven1-minperiod,exactlyfourofthefiveoperatorsreceivenorequests?Solution
6、:Poissondistributiona.thefirstoperatorreceivesnorequestsingiven1-minperiodb.4.(10points)Afireinsurancecompanyhashigh-risk,medium-risk,andlow-riskclients,whohave,respectively,probabilities0.02,0.01,and0.0025offilingclaimswithinagivenyear.Theproportionsofthenumbersofclientsinthethreecategoriesare0.1
7、0,0.20,and0.70,respectively.Whatproportionoftheclaimsfiledeachyarecomefromhigh-riskclients?Solution:B={filingclaims},A1={high-risk}A2={medium-risk}A3={low-risk}Then【第5页共5页】5.(10points)Anairportlimousinecanaccommo
