Suppose that X ~ B(10, p) and consider the point estimate
 = X/11
(a) What is the bias of this point estimate?
(b) What is the variance of this point estimate?
(c) Show that this point estimate has a mean square error of
10p - 9p2 / 121
(d) Show that this mean square error is smaller than the mean square error of X/10 when p ≤ 21/31.