Question

Based on the data in the table below, what is the probability that a given

accident involved a driver between the ages of 20 and 24?
Drivers in
Age group accidents
(thousands)
19 and under 2150
20-24 2620
25-34
3740
35-44 3220
45-54
3030
55-64
1990
65-74
790
75 and over 560
Drivers in
fatal
accidents
5.400
8,700
10.700
9600
9400
6500
3800
4300
Licensed
drivers
(thousands)
10.034
17.173
35,712
40.322
40.937
30.355
17.246
13.321

Answer 1

15.3

Explanation:

Answer 2

The probability that a given accident involved a driver between the ages of 20 and 24 is approximately 14.5%

Explanation:

We are given the age groups of drivers and the corresponding number of accidents.

We want to find out the probability that a given accident involved a driver between the ages of 20 and 24?

The required probability is given by

`\text{P(age \:20\: to\: 24}) = (2620)/(18100)`

Where 2620 (in thousands) is the number of drivers who are involved in accidents corresponding to age group of 20 to 24.

Where 18100 (in thousands) is the total number of drivers who are involved in accidents.

Total number of drivers = 2150 + 2620 + 3740 + 3220 + 3030 + 1990 + 790 + 560

Total number of drivers = 18100

So the probability is

`\text{P(age \:20\: to\: 24}) = (2620)/(18100)\\\\\text{P(age \:20\: to\: 24}) = 0.1447\\\\\text{P(age \:20\: to\: 24}) = 14.47\% \\\\\text{P(age \:20\: to\: 24}) = 14.5\%`

Therefore, the probability that a given accident involved a driver between the ages of 20 and 24 is approximately 14.5%