Question: Let B~Beta(a, b). Use integration by pattern recognition to find E(B^k) for positive integers k. In particular, show that Var(B)= ab/[(a+b)^2(a+b+a)].

Let B~Beta(a, b). Use integration by pattern recognition to find E(B^k) for positive integers k. In particular, show that Var(B)= ab/[(a+b)^2(a+b+a)].

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