Question

Of a sample of 500 students surveyed, 300 students say they listen to music when they study. In a school with 1500 students, how many students would be likely to listen to music while studying? hi 300 students 500 students 900 students 1200 students

Answer 1

Given:

Surveyed Sample = 500 students

Number of students who listen to music = 300

The probability of students that listens to music is given by the formula:

$pr\text{ =}\frac{number\text{ of students that listen to music}}{Total\text{ number of student}}\text{ =}\frac{300}{500}$

$pr\text{ = }\frac{3}{5}$

In a sample of 1500 students, to find the probable number of students that will listen to music

we will multiply the probability we obtained initially by the sample space

=>

$\begin{gathered} \frac{3}{5}\text{ x 1500} \\ \\ \frac{4500}{5} \\ \\ =900 \end{gathered}$

It is likely that 900 students will listen to music while studying