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5. Let N, X1, X2, ... be independent random variables, where E (X;) = Mx, Var(X;) = N ox, for j = 1, 2, .

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5. Let N, X1, X2, ... be independent random variables, where E (X;) = Mx, Var(X;) = N ox, for j = 1, 2, . . . Let MN = E (N) and or =Var(N). Let T = _ Xj. Then: j=1 a. (15 pt) Find E (T) and Var(T). b. (15 pt) Find Cov(N, T) and the correlation coefficient p ( N, T)

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