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Find the joint density of of the given variables

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Reference no: EM131731479

Question: A point is generated on a unit disk in the following way: The radius, R, is uniform on [0, 1], and the angle is uniform on [0, 2π] and is independent of R.

a. Find the joint density of X = R cos and Y = R sin .

b. Find the marginal densities of X and Y .

c. Is the density uniform over the disk? If not, modify the method to produce a uniform density.

Reference no: EM131731479

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