Question: Question (4): ( 12 Points) If Y has a binomial distribution with parameters n and p, then p Y is an unbiased Y +1

Question (4): ( 12 Points) If Y has a binomial distribution with

Question (4): ( 12 Points) If Y has a binomial distribution with parameters n and p, then p Y is an unbiased Y +1 estimator of p. Another estimator of p is p n+2 a Derive the bias of p, - b Derive MSE( P ) and MSE( P,). c For what values of p is MSE( p) < MSE(p, )?

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