Let (X,Y) be uniformly distributed in the circleof radius
Chapter 10, Problem 10.13(choose chapter or problem)
Let (X,Y) be uniformly distributed in the circleof radius 1 centered at the origin. Its joint densityis thus Let R = (X2 + Y2)1/2 and = tan1(Y/X) denotethe polar coordinates of (X, Y). Show that R and are independent, with R2 being uniform on (0, 1)and being uniform on (0, 2).
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