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    Find the joint distribution of X and Y

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    A point is generated at random in the plane according to the following polar scheme. A radius R is chosen, where the distribution of R^2 is qui-square with 2 degrees of freedom. Independently, an angle theta is chosen, where theta ~ uniform(0, 2 pi). Find the joint distribution of X = R cos theta and Y = R sin theta.

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    Solution Summary

    The expert examines a joint distribution of X and Y.