Among 450 randomly selected drivers in the 16 minus 18 age bracket, 420 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 minus 18 age bracket? Consider an event to be "unlikely" if its probability is less than or equal to 0.05.

Question

Mathematics

Ellis Burton

31 January, 04:50

Among 450 randomly selected drivers in the 16 minus 18 age bracket, 420 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 minus 18 age bracket? Consider an event to be "unlikely" if its probability is less than or equal to 0.05.

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Answers (1)

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Hugo West · Answer 1

P = 0.933

They are very likely to be in a car crash next year so they should be concerned

Step-by-step explanation:

If 420 out of 450 randomly selected drivers between 16-18 age bracket were in a car crash last year. Then the probability that he or she will be in a car crash during the next year is 420 / 450 = 0.933. This probability is larger than 0.05 so they will be very 'likely' to get involved in a car crash next year. This is high enough to concern those who are in 16-18 age bracket.