The joint density of X and Y is f(x, y) = 2e (x+2y) , for x >

Question:

The joint density of X and Y is

f(x, y) = 2e^−(x+2y), for x > 0, y > 0.

(a) Find the joint cumulative distribution function.
(b) Find the cumulative distribution function of X.
(c) Find P(X < Y).

Distribution
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