Two random variables x and y have the joint distribution p0, Ask an Expert

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Two random variables X and Y have the joint distribution, P(0, 0) = 0.2, P(0, 2) = 0.3, P(1, 1) = 0.1, P(2, 0) = 0.3, P (2, 2) = 0.1, and P(x, y) = 0 for all other pairs (x, y).

(a) Find the probability mass function of Z = X + Y.

(b) Find the probability mass function of U = X -Y.

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