Chapter 5, Problem 5.1TI

Consider the function $f\left(x\right)=\frac{1}{8}$ for $0\le x\le 8$ 0. Draw the graph of fix) and find P(2.5

To determine

$P(2.5<x<7.5)$.

Answer to Problem 5.1TI

$P(2.5<x<7.5)=0.625$.

Explanation of Solution

$\{\begin{array}{l}\frac{1}{8},0\le x\le 8\\ 0,\text{ otherwise}\end{array}$

Probability can be calculated by,

$\begin{array}{l}P(2.5<x<7.5)=(7.5-2.5)\left(\frac{1}{8}\right)\\ P(2.5<x<7.5)=0.625\end{array}$

The graph of $f(x)$ for $P(2.5<x<7.5)$ is shown below,