Question: 2. Let the joint probability mass function of discrete random variables X and Y be given by p(x, y) = B c(x + y) if

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

(a) the value of the constant

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

(c) P (X ≥ 2 | Y = 1),

(d) E(X) and E(Y ).

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