Let X and Y be independent continuous random variables that are each Uniformly distributed in the interval [0, 30]. Let Z denote the larger of X and Y; in other words, Z = max(X, Y). a. Find the cumulative distribution function Fz (a) = P(Z a) of the random variable Z. b. Find the density fz (z) of Z.

Let X and Y be independent continuous random variables that are each Uniformly distributed in the interval [0, 30]. Let Z denote the larger of X and Y; in other words, Z = max(X, Y).
a. Find the cumulative function Fz (a) = P(Z ≤ a) of the random variable Z.
b. Find the density fz (z) of Z.
c. Find the expected value E(Z) of Z. 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...