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1、 Chapter2RandomVariables,Distributions,andExpectationsEl阮I)0bab让y&S辽isis/bE刃厘川僵门&ScientistsE河育NMYERS|YEEESection2.1ConceptofaRandomVariableEE阮兰I)r0baby&Snsd(s圹臼E刃厘川僵门&ScientistsE渡育NMYERS|YEEEDefinition2.1ArandomvariablesafunctionthatassociatesarealnumberwitheachelementinthesamplespaceEDefinition2.2诊
2、asamplespacecontainsafnitentimberofpossibititiescrantnendingseduenceWithasmanyelementsastherearewholentmbers训论calledadiscretesamplespaceEDefinition2.3识asamplespacecontainsaninnitenumberofpossibilitiesequaltotheurmberofpointsonalinesegment讨诃calledacontinuoussamplespace.ESection2.2DiscreteProbabilitye
3、EE阮I)0bab让y&S辽isis圹臼E刃厘川僵门&ScientistsE河育NMYERS|YEEEDefinition2.4Thesetoforderedpairs(z,(a)saprobabilitymassfunction,probabilityfunction,orprobabilitydistributionofthedisereterandomvariable龙讨foreachpossibleoutcomez,1G0,2万1-3.P(CX二a)二一z),EDefinition2.5ThecumulativedistributionfunctionFP(z)ofadiscreterandomvariable弋withprobabilitydistributiona)iR二PCK万二死0,for一cozootSzE广Q吊E丿b一五Q万2一l匕七己丁之Sn.九下井HEFigure2.2ProbabilityhistogramE