Question: Suppose X is uniformly distributed over (0, 1). Using the results of Exercise 4.44, find transformations Y= g(X) to produce random variables with the following

Suppose X is uniformly distributed over (0, 1). Using the results of Exercise 4.44, find transformations Y= g(X) to produce random variables with the following distributions: (a) Exponential,
(b) Rayleigh,
(c) Cauchy,
(d) Geometric,
(e) Poisson.

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