Chapter 8.6, Problem 46E

To determine

To find: the probability that the student is the given age.

Answer to Problem 46E

The selected a student from a project of 22 to 30 years old is $\frac{1}{16}$ .

Explanation of Solution

Given information:

Given table

  

A student from the class is randomly chosen for a project.

Given

22 to 30 years old

Calculation:

To begin, add the numbers of sociology students to select a student from a project.

  $11+18+2+1=32$

There are total 2 students of 22 to 30 years old, so $n\left(E\right)=2$ and total students of sociology class are $n\left(S\right)=32$ .

Probability that the selected a student from a project of 22 to 30 age is,

  $\begin{array}{c}P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}\\ =\frac{2}{32}\\ =\frac{1}{16}\end{array}$

Hence probability that the selected a student from a project of 22 to 30 years old is $\frac{1}{16}$ .