Question: Please provide clear, detailed, and neat solutions step by step? Thank You! 7. Let X1, ..., Xn be iid random variable from the exponential distribution

Please provide clear, detailed, and neat solutions step by step? Thank

Please provide clear, detailed, and neat solutions step by step? Thank You!

You! 7. Let X1, ..., Xn be iid random variable from the

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)

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