Question: 3.66 Consider the random variables X and Y with joint density function f(x, y) = x + y, 0 x 1; 0

3.66 Consider the random variables X and Y with joint density function f(x, y) =



x + y, 0 ≤ x ≤ 1; 0 ≤ y ≤ 1 0, elsewhere.

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

(b) Find P(X > 0.25, Y > 0.5).

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