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Among 400 randomly selected drivers in the 20 - 24 age bracket, 10 were in a car

ID: 3259630 • Letter: A

Question


Among 400 randomly selected drivers in the 20 - 24 age bracket, 10 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 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 (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 / Answer

Here, 400 drivers are selected and 10 were in a car crash
So, probability will be in a car crash this year = 10/400 = 0.025

Yes, it would be unlikely for a driver in that age bracket to be involved in a car crash this year

No, the probability is not high enough to be concern in age bracket because probability is less than 0.05