Question: Given the joint pdf fX,Y(x, y) = 2e(x + y), 0 x y, y 0 find (a) P(Y < 1|X < 1).

Given the joint pdf
fX,Y(x, y) = 2e−(x + y), 0 ≤ x ≤ y, y ≥ 0
find
(a) P(Y < 1|X < 1).
(b) P(Y < 1|X = 1).
(c) fY|x(y).
(d) E(Y|x).

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