Are x and y independent calculate the cdf and pdf for r the

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Suppose that the joint density for X,Y is uniform over the disc centered at the origin with radius 1.

(a) Calculate the pdf's for X and Y (they are the same by symmetry, so you need to do just one calculation).

(b) Are X and Y independent?

(c) Calculate the cdf and pdf for R, the distance from the origin.

Reference no: EM13616282

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