2. (а) The joint probability mass function of random variables X and Y is given in the following table : 0 1 2 y 1 - 2 4 1 1 12 12 1 1 1 - 12 12 6 1 1 12 (i) Find the marginal distributions of X and Y. (ii) Find E(X) and E(Y). (iii) Test the independence ofX and Y. (iv) Find Cov (X, Y).

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