Question: A joint probability mass function is given by P(X = 1, Y = 1) = 1/8 P(X = 1, Y = 2) = 1/4. P(X

A joint probability mass function is given by

P(X = 1, Y = 1) = 1/8 P(X = 1, Y = 2) = 1/4.

P(X = 2, Y = 1) = 1/8 P(X = 2, Y = 2) = 1/2.


(a) Find the marginal distributions of X and Y.
(b) Are X and Y independent?
(c) Compute P(XY ≤ 3).
(d) Compute P(X +Y >2).

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