Chapter 13.7, Problem 22STP

To determine

The number of people prefer the rock music out of $1500$ people.

Answer to Problem 22STP

Out of $1500$ , the number of people prefer the rock music is $525$ .

Explanation of Solution

Given:

No of people in the music store to prefer the rock music: $N_1=100$

The percent of people in the music store to prefer the rock music: $P_1=35\%$

  $N_2=1500$

Calculation:

Consider;

Number of people out of $1500$ people can be expected to prefer the rock music: $x$

Now, $x$ is calculated by using the following formula:

  $\begin{array}{l}\frac{x}{N_2}=\frac{P_1}{N_1}\\ \frac{x}{1500}=\frac{35}{100}\\ x=525\end{array}$

Conclusion:

Hence, $525$ people can be expected to prefer the rock musicout of $1500$