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###### Quostion 5 Cousidler experituent which Iezulta of threr prnsibk: outcome> with outcotue oceurting with probability Pa =1,23a DR Suppose that indepeudent replicatious of this expetient Ae petformed nld let X; deuote the nutubcr of titles outcolue #PPen> Deterqine' the: prolmbility HHLS fuuctiou o tle rdol !tr [Or Xb) Derive the joint montent gencratiou fuuctiou a (XI. X2 X3). Are raudom vuriable 4,,4z X iudepeudeut? WZwv wht not ?Shew tht the cotrelation cocflicieut betweru 4 aid X i g

Quostion 5 Cousidler experituent which Iezulta of threr prnsibk: outcome> with outcotue oceurting with probability Pa =1,23a DR Suppose that indepeudent replicatious of this expetient Ae petformed nld let X; deuote the nutubcr of titles outcolue #PPen> Deterqine' the: prolmbility HHLS fuuctiou o tle rdol !tr [Or X b) Derive the joint montent gencratiou fuuctiou a (XI. X2 X3). Are raudom vuriable 4,,4z X iudepeudeut? WZwv wht not ? Shew tht the cotrelation cocflicieut betweru 4 aid X i gitu by P Va-PJ( Show Llutt tlu: couditlouudistributiou o 4, given that X <"I binomial Derluce the conditional HUnu Audvzriiuuce af . gitu tlwt 4 =

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