Let (X, Y ) be a random point chosen uniformly on the

Chapter , Problem 17

(choose chapter or problem)

Let (X, Y) be a random point chosen uniformly on the region \(R = \{(x, y) : |x| + |y| \leq 1\}\).

a. Sketch R.

b. Find the marginal densities of X and Y using your sketch. Be careful of the range of integration.

c. Find the conditional density of Y given X.

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