Question: 3. Let the joint probability mass function of discrete random variables X and Y be given by p(x, y) = B k(x2 + y2) if

3. Let the joint probability mass function of discrete random variables X and Y be given by p(x, y) = B k(x2 + y2) if (x, y) = (1, 1), (1, 3), (2, 3) 0 otherwise. Determine

(a) the value of the constant k,

(b) the marginal probability mass functions of X and Y , and

(c) E(X) and E(Y ).

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