Chapter 11.8, Problem 2WE

(a)

To determine

To Find: The probability that $X$ is between $AandC$ .

Answer to Problem 2WE

  $\frac{1}{2}$

Explanation of Solution

Given:

  

The probability that $X$ is between $AandC$ .

  $\begin{array}{l}probability=\frac{AC}{AB}=\frac{AC}{AC+CB}=\frac{AC}{AC+AC}\\ =\frac{AC}{2AC}\\ =\frac{1}{2}\end{array}$

Hence, the probability is $\frac{1}{2}$ .

(b)

To determine

To Find: The probability that $X$ is between $DandB$ .

Answer to Problem 2WE

  $\frac{1}{4}$

Explanation of Solution

Given:

  

The probability that $X$ is between $DandB$ .

  $\begin{array}{l}probability=\frac{DB}{AB}\\ =\frac{DB}{4DB}\\ =\frac{1}{4}\end{array}$

Hence, the probability is $\frac{1}{4}$ .

(c)

To determine

To Find: The probability that $X$ is between $CandE$ .

Answer to Problem 2WE

  $\frac{3}{8}$

Explanation of Solution

Given:

  

The probability that $X$ is between $CandE$ .

  $\begin{array}{l}probability=\frac{CE}{AB}\\ =\frac{3DE}{8DE}\\ =\frac{3}{8}\end{array}$

Hence, the probability is $\frac{3}{8}$ .