Chapter 13, Problem 14CT

To determine

To find: The probability that a randomly selected student at the college is between 18 and 20 years old.

Answer to Problem 14CT

The probability that a randomly selected student at the college is between 18 and 20 years old is 0.19.

Explanation of Solution

Given:

A study on the age distribution of students at a community college.

Calculation:

The probability that a randomly selected student at the college is between 18 and 20 years old is,

  $\begin{array}{c}P\left(18-20\text{ years old}\right)=1-P\left(\text{ not }18-20\text{ years old}\right)\\ =1-\left(0.03+.23+.29+.23+.01\right)\\ =1-.81\\ =.19\end{array}$

Hence,the probability that a randomly selected student at the college is between 18 and 20 years old is 0.19.