Safety Insurance Company Has Compiled the Following Statistics

Short Answer

Safety Insurance Company has compiled the following statistics. For any one-year period:
P(accident | male driver under 25) = .22
P(accident | male driver over 25) = .15
P(accident | female driver under 25) = .16
P(accident | female driver over 25) = .14
The percentage of Safety's policyholders in each category is:
Male Under 25 20%
Male Over 25 40%
Female Under 25 10%
Female Over 25 30%
a. What is the probability that a randomly selected policyholder will have an accident within the next year?
b. Given that a driver has an accident, what is the probability the driver is a male over 25?
c. Given that a driver has no accident, what is the probability the driver is a female?