Question: Consider X and Y are joint distributed with PDF f(x, y) = x + y, 0 x 1, 0 y 1. (a) Find the probability

Consider X and Y are joint distributed with PDF f(x, y) = x + y, 0 x 1, 0 y 1. (a) Find the probability that X > 0.5. (b) Find P(X > Y ). (c) Are X and Y independent? (d) Find the marginal distributions of X and Y . (e) Find the conditional distribution of X given Y = y.

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