A point is chosen uniformly at random from a disk of radius 1,centered at the origin. Let R be the distance of the point from theorigin, and ? the angle, measured in radians, counterclockwise withrespect to the x-axis, of the line connecting the origin to thepoint.
1. Find the joint distribution function of (R,?); i.e. findF(r,?) = P(R ? r, ? ? ?).
2. Are R and ? independent? Explain your answer.
