l. [56 pts total] Being able to sample from the uniform distribution on a disk (the region on the plane bounded by a circle) can be useful for conducting Monte Carlo studies. Two Statistics graduate students are trying to write down the probability density function (PDF) for a uniform distribution on a disk of radius p. Let r and 6 denote the polar co-ordinates of a point on the disk (you should have learned about polar coordinates in previous math courses). One of the students suggests the following PDFs for r and 6', respectively, 2% 0