119. In Exercises 111 and 112, 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 h(
) is an invertible function, so that y

h(x) can be solved for x to yield x
k(y). Then it can be shown that the pdf of Y is g(y)
f [k(y)]
⏐k (y)⏐

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

b. Work Exercise 117, using this result.

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