Question

A sample of 2,000 licensed drivers revealed the following number of speeding violations. Number of Violations Number of Drivers 0 1,910 1 46 2 18 3 12 4 9 5 or more 5 Total 2,000 Click here for the Excel Data File What is the probability that a particular driver had exactly two speeding violations

Answer 1

The probability that a particular driver had exactly two speeding violations is 0.009.

Explanation:

We are given that a sample of 2,000 licensed drivers revealed the following number of speeding violations;

Number of Violations Number of Drivers

0 1,910

1 46

2 18

3 12

4 9

5 or more 5

Total 2000

Now, the data means that 1,910 drivers had 0 speeding violations and so on.

Now, we have to find the probability that a particular driver had exactly two speeding violations, that means;

Number of drivers having exactly two speeding violations = 18

Total numbers of drivers = 2000

So, the required probability =
`\frac{\text{No. of drivers having two speeding violations}}{\text{Total no. of drivers}}`

=
`(18)/(2000)` = 0.009