2.3.6. Let the joint pdf of X and Y be given by f(x,y) = { (1+x+y)3 0 < x < ∞, 0 < y < x elsewhere. 0 (a) Compute the marginal pdf of X and the conditional pdf of Y, given X = x. (b) For a fixed X = x, compute E(1+x+Yx) and use the result to compute E(Y|x).

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2.3.6. Let the joint pdf of X and Y be given by
f(x,y) = {
(1+x+y)3 0 < x < ∞, 0 < y < x
elsewhere.
0
(a) Compute the marginal pdf of X and the conditional pdf of Y, given X = x.
(b) For a fixed X = x, compute E(1+x+Yx) and use the result to compute
E(Y|x).
Transcribed Image Text:2.3.6. Let the joint pdf of X and Y be given by f(x,y) = { (1+x+y)3 0 < x < ∞, 0 < y < x elsewhere. 0 (a) Compute the marginal pdf of X and the conditional pdf of Y, given X = x. (b) For a fixed X = x, compute E(1+x+Yx) and use the result to compute E(Y|x).
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