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

Question:

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 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)] ∙ |kꞌ(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.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...