LV 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%, 55%, and 15%, respectively. The probability a “good” driver will have an accident is 0.01, the probability a “medium” risk driver will have an accident is 0.04, and the probability a “poor” driver will have an accident is 0.15 The company sells Mr. Villan an insurance policy and he has an accident. What is the probability Mr. Villan is: (i) A “good” driver?  (ii) A “medium” risk driver?  (iii) A “poor” driver?

A First Course in Probability (10th Edition)
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LV 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%, 55%, and
15%, respectively.
The probability a “good” driver will have an accident is 0.01, the probability a
“medium” risk driver will have an accident is 0.04, and the probability a “poor” driver
will have an accident is 0.15
The company sells Mr. Villan an insurance policy and he has an accident. What is
the probability Mr. Villan is:
(i) A “good” driver? 
(ii) A “medium” risk driver? 
(iii) A “poor” driver? 

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