Question: Let X1,..., Xn be iid Bernoulli(p). Show that the variance of attains the Cramer-Rao Lower Bound, and hence is the best unbiased estimator

Let X1,..., Xn be iid Bernoulli(p). Show that the variance of  attains the Cramer-Rao Lower Bound, and hence  is the best unbiased estimator of p.

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