Question

Among 300 randomly selected drivers in the 20-24 age bracket, 15 were in a car crash in the last year. If a driver in that age bracket is randomly selected, what is the approximate probability that he or she will be in a car crash during the next year? It is unusual for a driver in that age bracket to be involved in a car crash during a year?

Answer 1

Explanation:

It is given that 300 drivers in the age group 20-24 were randomly selected.

Out of these 300, 15 were in a car crash in the last year

Sample proportion p for drivers in age group 20-24 to be in car crash in last year

=
`(15)/(300) =<strong>0.05</strong>`

q = proportion for this age group no in car crash = 1-0.05 = 0.95

We find that probability for not in crash is almost equal to 1.

Hence we can say that

It is unusual for a driver in that age bracket to be involved in a car crash during a year

Answer 2

Probability is: 15/300 = 0.05 ( or 5 % ).
Yes, it is unusual for a driver in that age bracket to be involved in a car crash.