Question

among 500 randomly selected drivers in the 16 - 18 age bracket, 414 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? is it unlikely for a driver in that age bracket to be involved in a car crash during a year? is the resulting value high enough to be of concern to those in the 16 - 18 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 16 - 18 age bracket will be in a car crash this year is approximately . (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? no yes is the probability high enough to be of concern to those in the 16 - 18 age bracket? no yes

Explanation:

Step1: Recall probability formula

The probability $P$ of an event is given by $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify values

The number of favorable outcomes (drivers in car - crash) is $n = 414$, and the total number of outcomes (total drivers selected) is $N=500$.

Step3: Calculate probability

$P=\frac{n}{N}=\frac{414}{500}=0.828$

Since $0.828>0.05$, it is not unlikely for a driver in the 16 - 18 age - bracket to be involved in a car crash this year, and the probability is high enough to be of concern.

Answer:

The probability that a randomly selected person in the 16 - 18 age bracket will be in a car crash this year is approximately $0.828$.
Would it be unlikely for a driver in that age bracket to be involved in a car crash this year?
No
Is the probability high enough to be of concern to those in the 16 - 18 age bracket?
Yes