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Q. 2 Given fXY(x)=[Kx3e(x2) x20 0 ew (a) Find constant K so that it is a pdf; [Hint: Think about gamma distribution] (b) Does X

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Q. 2 Given fXY(x)=[Kx3e(x2) x20 0 ew (a) Find constant K so that it is a pdf; [Hint: Think about gamma distribution] (b) Does X have a 2-distribution? If so, what is its degree of freedom? (c) Find E(X) and Var(X)

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