Question: Suppose that X1, . . . , Xn form a random sample from the Bernoulli distribution with unknown parameter p. Show that the variance of

Suppose that X1, . . . , Xn form a random sample from the Bernoulli with unknown parameter p. Show that the variance of every unbiased estimator of (1− p)2 must be at least 4p(1− p)3/n.

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