This is a question from Mathematics of Risk, related to probability and calculus. Please show the whole process and each step.

The Metropolis Insurance Company's total annual automobile insurance losses are given by the random variable S, with probability density function (PDF) s/1000e V s/1000 for s > 0 fs (s) = 2s O otherwise Moreover, the company reinsures the portion of any total-loss amount that exceeds 10,000, retaining responsibility for only S if S 10, 000 (a) Find the PDF, PMF, or mixed probability function (including the sample space) of R. (b) Find ER [R]