(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

X and Y uniformly distributed on the disc:

1/pi, x^2+y^2 <=1

X=Rcos(theta), Y =Rsin(theta)

0<=R<=1, 0<=theta<=2pi

Find the joint PDF of R,theta

3. The attempt at a solution

g(R,theta)=f(x,y)*abs(jacobian)

The Jacobian is R

The joint PDF is then simply R/pi = 1/pi (since area is R^2 pi = 1 and R = 1)

Is it that simple?

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# Homework Help: Change of variable - joint p.d.f

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