Question: 2. Let the joint probability mass function of discrete random variables X and Y be given by Determine (a) the value of the constant c,

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

p(x, y) [c(x + y) if x 1,2,3, y= 1,2 = otherwise.

Determine

(a) the value of the constant

c,

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

(c) P(X ≥ 2 | Y = 1),

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

p(x, y) [c(x + y) if x 1,2,3, y= 1,2 = otherwise.

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