ABC Auto Insurance categorizes drivers as good, medium, or poor risks. Drivers who apply to them for insurance fall into the 3 groups in proportions 30%, 50%, and 20%, respectively. Probability "good" driver will have the accident is .01, probability "medium" risk driver will have the accident is .03, and probability "poor" driver will have the accident is .10. Company sells Mr. Brophy insurance policy and he has the accident. Find probability Mr. Brophy is:
i) "good" driver?
ii) "medium" risk driver?
iii) "poor" driver?