Question

A survey of 3,000 who bought a new car showed that 900 people had

mechanical issues within the first 2 year.

What is the relative frequency of the people that had mechanical issues?


What is the relative frequency of the people that did not have mechanical

issues?


What does the relative frequencies in part (a) and (b) tell you about the

new car and how reliable it has been? Explain please and Thank you.

Answer 1

The relative frequency of the people that had mechanical issues is
`(3)/(10)` = 0.3

he relative frequency of the people that did not have mechanical

issues is
`(7)/(10)` = 0.7

According to the survey within the first 2 years, 3 out of the 10 cars had mechanical issues. 7 out of the 10 cars did not have mechanical issues within the first two years.

Explanation:

a) Here, relative frequency is the ratio of the total number of people in the survey who had mechanical issues to the all people surveyed who bought a new car. According to the survey, 3000 people who bought a new car was asked and 900 of them had mechanical issues within the first year. Therefore, relative frequency is:

`(900)/(3000)` When we divide both sides by 100 and then by 3:

=
`(9)/(30)`

=
`(3)/(10)`

b) Here, relative frequency is the ratio of the total number of people in the survey who didn't have mechanical issues to the all people surveyed who bought a new car. According to the survey, 3000 people who bought a new car was asked and 900 of them had mechanical issues within the first year. Then we can conclude that 3000-900=2100 of them didn't have any mechanical issues. Therefore, relative frequency is:

`(2100)/(3000)` When we divide both sides by 100 and then by 3:

=
`(21)/(30)`

=
`(7)/(10)`

According to the survey within the first 2 years, 3 out of the 10 cars had mechanical issues. 7 out of the 10 cars did not have mechanical issues within the first two years.