Chapter 12, Problem 11RE

(a)

To determine

To calculate: $\text{E}\left(X\right)$ and $\text{Var}\left(X\right)$ for the uniform density function $f\left(x\right)=\frac{1}{5}$ on $20\le x\le 25$.

(b)

To determine

To calculate: $b$ such that $\mathrm{Pr}\left(X\le b\right)=0.3$, where the random variable $X$ has a uniform density function $f\left(x\right)=\frac{1}{5}$ on $20\le x\le 25$.