Question

among 300 randomly selected drivers in the 20 - 24 age bracket, 13 were in a car crash in the last year. if that age bracket is randomly selected, what is the approximate probability that he or she will be in a car crash next year? is it unlikely for a driver in that age bracket to be involved in a car crash during a year? is the result high enough to be of concern to those in the 20 - 24 age bracket? consider an event to be unlikely if its probability is less than or equal to 0.05.
the probability that a randomly selected person in the 20 - 24 age bracket will be in a car crash this year is approximately 0.043. (type an integer or decimal rounded to the nearest thousandth as needed.)
would it be unlikely for a driver in that age bracket to be involved in a car crash this year?
yes
no
is the probability high enough to be of concern to those in the 20 - 24 age bracket?
yes
no

Explanation:

Step1: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (drivers in a car - crash) is $n = 13$, and the total number of outcomes (total drivers surveyed) is $N=300$. So, $P=\frac{13}{300}\approx0.043$.

Step2: Determine if it's unlikely

We are given that an event is considered unlikely if its probability is less than or equal to $0.05$. Since $0.043\leq0.05$, it is unlikely for a driver in this age - bracket to be in a car crash.

Step3: Determine if it's a concern

The probability $0.043$ is relatively low. While it is unlikely, it may still be of some concern to some, but generally, a very low probability like this is not considered high - enough to be a major concern.

Answer:

The probability that a randomly selected person in the 20 - 24 age bracket will be in a car crash this year is approximately $0.043$.
Yes
No