Suppose that Y has a binomial distribution with parameters n and p but that p varies

Chapter 5, Problem 5.142

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Suppose that Y has a binomial distribution with parameters n and p but that p varies from day to day according to a beta distribution with parameters and . Show that a E(Y ) = n/( + ). b V(Y ) = n( + + n) ( + )2( + + 1) .

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