An insurance company classifies drivers as low risk, medium risk, high risk. Of those insured, 60% are low-risk, 30% are medium-risk, and 10% are high risk. After a study, the company finds that during a1-year period, 1% of the low risk drivers had an accident, 5% of the medium risk drivers had an accident, and 9% of the high-risk drivers had an accident. Required:
a. If a driver had an accident during the year, find the probability that the driver is selected as a medium-risk driver.
b. If a driver who had an accident during the I-year period is selected, what is the probability that he has been classified as high-risk?
c. If two drivers who had an accident during the I -year period are selected, what is the probability that at least one of them has been classified as high-risk?