Question: Let the random vector (X, Y) have joint PMF given by (, y) (0,0) (0,1) (0,2) (1,0) (1,1) (1,2) f(x, y) | 2/12 3/12 2/12

Let the random vector (X, Y) have joint PMF given by (, y) (0,0) (0,1) (0,2) (1,0) (1,1) (1,2) f(x, y) | 2/12 3/12 2/12 2/12 2/12 1/12 and f(x, y) = 0 elsewhere. (a) Find the marginal distributions of X and Y. (b) Are X and Y independent? (c) Find the condition PMF of Y given X

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