Question regarding the marginal density
Suppose a point (X,Y) is chosen at random from the disk x^2 + y^2 <= 1. Find (a) the marginal density of X and (b) the conditional density of Y given X=x.
The answer is:
fx(X) = (2/pi)*sqrt(1-x^2)
fy(y|X=x) = 1/2 * sqrt(1-x^2)
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