Let X be a random variable that takes on nonnegative values and has distribution function F(x). Show

Question:

Let X be a random variable that takes on nonnegative values and has function F(x). Show that

Hint: Integrate by parts. Illustrate this result by calculating E(X) by this method if X has an exponential F(x) = 1 − e−λx for x ≥ 0, and F(x) = 0 otherwise. 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...