Problem
Assume $(X, Y)$ have the uniform distribution on the unit disk $\{(x,y): x^2 + y^2 \leq 1\}$. That is, the joint pdf $f(x,y)$ is constant $c$ if $x^2 + y^2 \leq 1$ and zero otherwise. Find the cdf of $R = \sqrt{X^2 + Y^2}$.
Solution
Sources
- 36-700 hw3 problem 3