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ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers wh

ID: 3382973 • Letter: A

Question

ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into these three groups in the proportions 30%, 50%, and 20%, respectively. The probability a “good” driver will have an accident is .01, the probability a “medium” risk driver will have an accident is .03, and the probability a “poor” driver will have an accident is .10. The company sells Mr. Brophy an insurance policy and he has an accident. What is the probability Mr. Brophy is: A. A good driver? B. A medium risk driver? C. A poor driver?

Explanation / Answer

ABC Auto Insurance classifies drivers as good, medium, or poor risks. Drivers wh