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A national traffic accident survey investigates the role of alcohol in automobil

ID: 3255912 • Letter: A

Question

A national traffic accident survey investigates the role of alcohol in automobile accidents. Drivers note the number of accidents they were involved in during the last year and whether they had consumed alcohol before the accident(s). You are given the following table of joint probabilities:

Calculate the probability that a driver had one or more accidents. Enter your answer in decimal form and round to your answer to two decimal places.

Number of Accidents in the Last Year None One or More Alcohol Involved Yes 0.02 0.05 No 0.72 ?

Explanation / Answer

probability that a driver had one or more accidents and no alcohol consumed = 1 - (0.02 + 0.05 + 0.72)

                                                                                 = 1 - 0.79

                                                                                 = 0.21

probability that a driver had one or more accidents = 0.21 + 0.05 = 0.26 (ans)

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