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A point is generated on a unit disk in the following way: The radius, R, is...

A point is generated on a unit disk in the following way: The radius, R, is uniform on (0, 1), and the angle Θ is uniform on (0, 2π) and is independent of R. a. Find the joint density of X = R cos Θ and Y = R sin Θ. b. Find the marginal densities of X and Y .

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