11. Suppose that the random variables $X_1, \ldots, X_n$ form a random sample of size $n$ from the uniform distribution on the interval $[0, 1]$. Let $Y_1 = \min\{X_1, \ldots, X_n\}$, and let $Y_n = \max\{X_1, \ldots, X_n\}$. Find $E(Y_1)$ and $E(Y_n)$.