Problem
Let $X_1, ... X_n \sim \text{Uniform}(0, 1)$ and let $Y_n = \text{max}\{X_1, ..., X_n\}.$ Find $E(Y_n)$ and $V(Y_n)$.
Solution
Sources
- 36-700 hw4 problem 1
- 36-705 hw1 problem 9
Let $X_1, ... X_n \sim \text{Uniform}(0, 1)$ and let $Y_n = \text{max}\{X_1, ..., X_n\}.$ Find $E(Y_n)$ and $V(Y_n)$.