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Problems 5 and 6 refer to discrete random variables X and Y with the joint distribution given in the following table, so P(X = 1nY = -1) =1/4, P(X =1nY =1) =0, etc. Y=-1 Y=0 Y=1 X =1 X = 2 16 X = 3 16 16 Problem 5. (Math 4311 Only) Compute the marginal distributions of X and Y, and use these to compute E(X), E(Y), Var(X), and Var(Y).Problem 6. Compute Cov(X, Y) and the correlation p for the random variables X and Y. Are X and Y independent