Question: 5.8 Let X have a Beta distribution with parameters a and b. Let Y be distributed as Binomial(n, X). What is E[Y | X]? Describe

5.8 Let X have a Beta distribution with parameters a and

b. Let Y be distributed as Binomial(n, X). What is E[Y | X]? Describe the distribution of Y and give E[Y]

and V[Y]. What is the distribution of Y in the special case when X is uniform?

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