7. Consider a random sample X1,..., Xn from a population with a Bernoulli(@) distri- bution. (a) Suppose n > 3, show that the product W = X X X3 is an unbiased estimator of p. (b) Show that T = 2h-1X; is a sufficient statistic for 0 (c) Using your answers to parts (a) and (b), use the Rao-Blackwell Theorem to find a better unbiased estimator of 03. (Make sure you account for all cases) (d) Show that T = 2 Xi is a complete statistic, and hence by Theorem 7.3.23 your estimator from part (c) is the best unbiased estimator if 03.