Question: Suppose that the random variable Y has a binomial distribution with n trials and success probability X, where n is a given constant and X

Suppose that the random variable Y has a binomial distribution with n trials and success probability X, where n is a given constant and X is a uniform(0,1) random variable.
(a) Find EE and Var Y.
(b) Find the joint distribution of X and Y.
(c) Find the marginal distribution of V.

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