Question

Let the random vector (X, Y ) be drawn uniformly from the disk D = {(x,...

Let the random vector (X, Y ) be drawn uniformly from the disk D = {(x, y) : x2 +y2 ≤ 1}.

(a) (2 pts) What is the joint density function of (X, Y )?

(b) (4 pts) What is the marginal density function of Y ?

(c) (4 pts) What is the conditional density of X given Y = 1/2?

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