Question: 3. Let the joint probability mass function of discrete random variables X and Y be given by Determine (a) the value of the constant k,

3. Let the joint probability mass function of discrete random variables X and Y be given by

p(x, y) = = (k(x + y) 0 if (x, y) =

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 ).

p(x, y) = = (k(x + y) 0 if (x, y) = (1, 1), (1, 3), (2, 3) otherwise.

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