Question: 5. A point is selected randomly from the unit disk D = (x, y) : x2 + y2 1 . (a) Find the

5. A point is selected randomly from the unit disk D =



(x, y) : x2 + y2 ≤ 1


.

(a) Find the conditional probability density function of X, the x-coordinate of the point selected, given that Y, it’s y-coordinate, is y.

(b) Find the conditional expected value and the conditional variance of X given that Y = y.

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