(A universal random number generator.) Let X have a continuous, strictly increasing cdf F . Let Y…

(A universal random number generator.) Let X have a continuous, strictly increasing cdf F . Let Y = F (X). Find the density of Y . This is called
the probability integral transform. Now let U ~ Uniform(0, 1) and let
X = F -1(U ). Show that X ~ F . Now write a program that takes
Uniform (0,1) random variables and generates random variables from an Exponential (ß) distribution





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