(Answered) Question let x y be a random point chosen uniformly on the

Statistics

Question: Let (X, Y) be a random point chosen uniformly on the region R = {(x, y) : |x|+|y| ≤ 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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