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Let X and Y be two discrete random variables whose joint probability distribution function is given...

Let X and Y be two discrete random variables whose joint probability distribution function is given by f(x, y) = 1 12 x 2 + y for x = −1, 1 and y = 0, 1, 2

a) Find cov(X, Y ).

b) Determine whether X and Y are independent or not. (Justify your answer.

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