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Each applicant has a score. If there are a total of n applicants then each applicant...

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Basic Math

Each applicant has a score. If there are a total of n applicantsthen each applicant whose score is above sn is accepted, where s1 =.2, s2 = .4, sn = .5,n ? 3. Suppose the scores of the applicantsare independent uniform (0, 1)random variables and are independentof N, the number of applicants, which is Poisson distributed withmean 2. Let X denote the number of applicants that are accepted.Derive expressions for (a) P(X=0). (b) E[X].

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