Let the random variable Y have the uniform distribution over [a, b]; that is, fY (y) =

Question:

Let the random variable Y have the uniform over [a, b]; that is, fY (y) = 1/ b−a for a ≤ y ≤ b. Find E(Y) using Definition 3.5.1. Also, deduce the value of E(Y), knowing that the expected value is the center of gravity of fY (y).
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...