5.2. Points are placed on the surface of a circular disk of radius one according to the following scheme. First, a Poisson distributed random variable N is observed. If N = n, then n random variables 0...... 0,, are independently generated, each uniformly distributed over the interval

[0, 2ir), and n random variables R . . . , R,, are independently generated, each with the triangular density f(r) = 2r, 0 < r < 1. Finally, the points are located at the positions with polar coordinates (R;, 9;), i = 1, . . . , n.

What is the distribution of the resulting point process on the disk?