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

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,
(b) Pr(Y > 0|X = 2).

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