Suppose that a random variable X has a pdf given by fx 0, for x a bx a/a, for a x 0 bex, for 0 x where a, b and are positive constants with ab 2. A typical plot of this is shown in the following figure. Typical Plot of fx versus x Determine how to sample X given a random number R U0, 1 and run a 2000 Sample Monte-Carlo Simulation checking your result against EX and X