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Suppose that a point (X, Y ) is chosen at random from the disk S defined as follows: S = {(x, y) :(x ? 1) 2 + (y + 2) 2

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Suppose that a point (X, Y ) is chosen at random from the disk S defined as follows: S = {(x, y) :(x ? 1) 2 + (y + 2) 2 ? 9}. Determine (a) the conditional p.d.f. of Y for every given value of X, and (b) Pr(Y > 0|X = 2).

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