Question: Suppose that X ~ B(12, p) and consider the point estimate = X/14 (a) What is the bias of this point estimate? (b) What

Suppose that X ~ B(12, p) and consider the point estimate
= X/14
(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
3p - 2p2 / 49
(d) Show that this mean square error is smaller than the mean square error of X/12 when p ≤ 0.52.

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