5.5.2 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 D n, then n random variables 1; : : : ; n are independently generated, each uniformly distributed over the interval [0;2/, and n random variables R1; : : : ;Rn are independently generated, each with the triangular density f .r/ D 2r;0 < r < 1. Finally, the points are located at the positions with polar coordinates .Ri; i/; i D 1; : : : ;n. What is the distribution of the resulting point process on the disk?