Question: If X and Y have the joint probability distribution f(1, 0) = 0, f(1, 1) = 14 , f(0, 0) = 16 , f(0, 1)

If X and Y have the joint probability distribution f(–1, 0) = 0, f(–1, 1) = 14 , f(0, 0) = 16 , f(0, 1) = 0, f(1, 0) = 1 12 , and f(1, 1) = 12 , show that
(a) cov(X, Y) = 0;
(b) The two random variables are not independent.

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