# Question

Let X1, X2, . . . , Xn denote a random sample from b(1, p). We know that x̄ is an unbiased estimator of p and that Var(x̄) = p(1 − p)/n.

(a) Find the Rao–Cramér lower bound for the variance of every unbiased estimator of p.

(b) What is the efficiency of X as an estimator of p?

(a) Find the Rao–Cramér lower bound for the variance of every unbiased estimator of p.

(b) What is the efficiency of X as an estimator of p?

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