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Let X and Y be random variables that each have the marginal distribution P(X=x) = P(Y=y) = 1/5 for x = 2,1,0,1,2 and y =

Let X and Y be random variables that each have the marginal distribution P(X=x) = P(Y=y) = 1/5 for x = 2,1,0,1,2 and y = 2,1,0,1,2. Find a joint distribution for (X,Y] such that Cov(X,Y) = 0 but X and Y are not independent. {4pt)

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