Question: Let X1, ...,Xn be a random sample from a Bernoulli distribution with an unknown p. Show that the variance of any unbiased estimator of (1

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

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