Say the serum cholesterol level (X) of U.S. males ages 2534 follows a translated gamma distribution with

Question:

Say the serum cholesterol level (X) of U.S. males ages 25€“34 follows a translated gamma with pdf

(a) What are the mean and the variance of this distribution?
(b) What is the mode?
(c) What percentage have a serum cholesterol level less than 200?

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...