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Problem II (40 points, 10 points each numbered problem) 1. Suppose that 7, and 72 are independent random variables such that E(T,) = E(T2) =

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Problem II (40 points, 10 points each numbered problem) 1. Suppose that 7, and 72 are independent random variables such that E(T,) = E(T2) = 20 and Var(7;) = Var(7;) = 102. Consider the following estimators of e: 0 = Ti +T, Ti +T, and 0. = 5 Find the bias, variance, and mean squared error of each of these estimators, Then determine which estimator is preferable and explain why

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