Problem 4: Suppose that y follows a binomial distribution with parameters n and p, so that the pmf of Y given 80 is: g(y|0) = C(y,n)0 (1 - 0)¹-y for y

= 0,1,..., n. Suppose that the prior pdf of the parameter is the Beta pdf, that is r(a +ß) Γ(α)Γ(β) for 0 < 0 < 1. h(0) = Find the posterior pdf of 0, given that Y = y. ·0⁰-¹ (1-0)B-1