7. Suppose that an insurance company classifies people into one of three classes: good risks, average risks, and bad risks. The company's records indicate that the probabilities that good-, average-, and bad-risk persons will be involved in an accident over a 1-year span are, respectively, .05, .15, and .30. If 20 percent of the population is a good risk, 50 percent an average risk, and 30 percent & bad risk, determine the following: (a) the probability that a randomly selected person has an accident within the next year? (b) If policyholder A has no accidents within the next year, what is the prob- ability that he or she is a good or average risk