Question

Let X and Y be joint continuous random variables with joint density function
f(x, y) = (e−y
y
0 < x < y, 0 < y, ∞
0 otherwise
Compute E[X2
| Y = y].

5. Let X and Y be joint continuous random variables with joint density function e, y 0 otwise Compute E(X2 | Y = y]

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Answer #1

Answer:

Here, first the marginal PDF for y is computed as: Now the conditional PDF for X given Y is computed here as: f(x, y) e-y 1 =

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