Question: 1. Suppose that two jointly discrete random variables Y1 and Yz have the following joint probability mass function (pmd) p(7/1, 1/2). 0 1 2 0.08

1. Suppose that two jointly discrete random variables Y1 and Yz have the following joint probability mass function (pmd) p(7/1, 1/2). 0 1 2 0.08 0.04 0.18 1/2 0.20 0.15 0.10 3 0.06 0.11 0.08 (a) Verify that p(1/1, 1/2) is a proper bivariate pmf. (2 pts) (b) Find the probability mass functions (pmfs) of Y, and Y2. (4 pts) (c) Find P(Y, 0). (4 pts) (d) Are Y, and Y, independent? (4 pls)

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