Let X1, ..., Xn be independent and identically distributed (iid) random variables from Binom(m, p). Assume m is known. (e) Derive the the Cramer-Rao lower bound (CRLB) for the variance of unbiased estimators of T(p). (f) For what functions r(p) does there exist an unbiased estimator which attains the CRLB? Discuss the case where T (p) = p (1 - p); particularly, when p = 1/2. (g) Provide an approximate 95% confidence interval for p using the asymptotic properties of the MLE p