Suppose that the population distribution of X is given by N(u, o') and the ran- dom sample of size n be {X1, X2, X3, ..., Xn). We are interested in estimating u and o2. (a) Consider two estimators, f, and /2, of p 1 = X 12 = X i. Show that p, and , are unbiased estimators of u. ii. Calculate the variance of the estimators, f, and ,, and conclude which estimator is better