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7. Let X1, ..., Xn be iid random variable from the exponential distribution with pdf f (2) = get r >0 elsewhere Let Xn denote the sample mean. Name: Score: HW2-SS2022-440A (a) Show E(Xi) = 0 and Var(Xi) = 02 (b) Find E(X?). Is X, an unbiased estimator for the variance 02? Why? (c) Find the asymptotic distribution of vn(Xn - 0) (d) Find the asymptotic distribution of Vn(X2 - 02)