In Exercises 117 and 118, as well as many other situations, one has the pdf f(x) of

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In Exercises 117 and 118, as well as many other situations, one has the pdf f(x) of X and wishes to know the pdf of

. Assume that is an invertible function, so that can be solved for x to yield . Then it can be shown that the pdf of Y is

a. If X has a uniform distribution with and , derive the pdf of .

b. Work Exercise 117, using this result.

c. Work Exercise 118(b), using this result.

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