The joint pmf for X and Y is given in the accompanying table. (1) Find the marginal pmf's for X and Y. (2) Are X and Y independent and why? (3) Find Cov(X, Y). (4) Are X and Y correlated and why? X -1 0 1 -1 0 1 1/8 1/8 1/8 0 1/8 1/8 1/8 1/8 1/8

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