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

Each applicant has a score. If there are a total of n applicants then each applicant whose score is above sn is accepted, where s1 = .2, s2 = .4, sn = .5,n ≥ 3. Suppose the scores of the applicants are independent uniform (0, 1)random variables and are independent of N, the number of applicants, which is Poisson distributed with mean 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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Expert Solution

if X~bin(N,p) then E[x]=N*p

milcah answered 2 years ago
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