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

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 y = h(X). Assume that is an invertible function, so that h(>)can be solved for x to yield . Then it can be shown that y = h(x) the pdf of Y is

a. If X has a uniform distribution with A = 0 and B = 1, derive the pdf of Y = – In(X),

b. Work Exercise 117, using this result.

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