Suppose a point xy is chosen at random from the disk x2 y2

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Reference no: EM13615779

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)

Reference no: EM13615779

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