Question: 3) Let X, X2,..., Xn be a random sample taken from a population with the following pdf: f(x; 0) 2x = ;0 < x

3) Let X, X2,..., Xn be a random sample taken from a population with the following pdf: f(x; 0) 2x = ;0 < x < 0 0 a. Show that T = 3X /2 is an

3) Let X, X2,..., Xn be a random sample taken from a population with the following pdf: f(x; 0) 2x = ;0 < x < 0 0 a. Show that T = 3X /2 is an unbiased estimator for 0. b. Find the Cramer-Rao lower bound, and compare it with the variance of T. c. Is T an efficient estimator of 0?

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