The joint probability density function of X and Y is given by f (x, y) = e(x+y)

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The joint probability density function of X and Y is given by
f (x, y) = e−(x+y) 0 ≤ x < ∞, 0 ≤ y < ∞
Find
(a) P{X < Y}
(b) P{X < a}.
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