2. Eddy and Harrison play a game as follows. Eddy selects a real number 0 at random and writes it down on a piece of paper. Harrison can ask Eddy what O is. Each time Harrison asks, Eddy tosses a biased coin secretly and tells Harrison the number 0 - k if a head comes up (with probability p = 0.3) and the number 0 + k if a tail comes up (with probability 1 - p =0.7) for some k > 0. Harrison knows the values of p and k, and has to estimate the true value of 0 after asking Eddy twice based on the numbers X1 and X2. (a) Define X = (X1 + X2)/2. Construct an unbiased estimator of 0, namely T, based on X . (b) Define X. W = for X1 / X2, X1 ta, for X1 = X2. Find the value of a such that W is an unbiased estimator of A. (c) Intuitively, which estimator do you think is a better estimator, T or W