# Question: The joint density of X and Y is f x y

The joint density of X and Y is

f (x, y) = c(x2 − y2)e−x 0 ≤ x < ∞, −x ≤ y ≤ x

Find the conditional distribution of Y, given X = x.

f (x, y) = c(x2 − y2)e−x 0 ≤ x < ∞, −x ≤ y ≤ x

Find the conditional distribution of Y, given X = x.

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