# Question

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}.

f (x, y) = e−(x+y) 0 ≤ x < ∞, 0 ≤ y < ∞

Find

(a) P{X < Y}

(b) P{X < a}.

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