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Let Xn ~ Gamma(n, 1). (a) [1] Derive the limiting distribution of (Xn -n) / Vn. (Hint: A Gamma(n, 1) random vari- able is the sum of n iid Exponential (1) random variables - since this is a generalization of Hwk 6 question 2, you can use this result without proof.) (b) [1] Derive the limiting distribution of (Xn-n)2 n