Question: Consider the random variables X and Y with joint density function f(x, y) = x + y, 0 x, y 1, 0, elsewhere.

Consider the random variables X and Y with joint density function f(x, y) = x + y, 0 ≤ x, y ≤ 1, 0, elsewhere.

(a) Find the marginal distributions of X and Y .

(b) Find P(X > 0.5,Y > 0.5).

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