I'm not sure what the question is asking or how to approach it. Diagrams would be useful!

1. A computer has a subroutine that can generate values of a random variable U that is uniformly distributed in the interval [0,1]. Such a subroutine can be used to generate values of a continuous random variable X with given CDF F (x) as follows. If U takes a value u, we let the value of X be a number x that satisies F(x)=u. We assume that for any u 6(0, 1) , there is a unique x that satisies F (x)=u. (1) Show that the CDF of the random variable X thus generated is indeed equal to its given CDF. (2) Show how to use this procedure to simulate a discrete integer-valued random variable