An automobile insurance company divides customers into three categories: good risks, medium risks, and poor risks. assume that 70% of the customers are good risks and 20% are medium risks. assume that during the course of a year, a good risk customer has a probability of 0.005 of filing an accident claim, a medium risk customer has a probability of 0.01 of filing an accident claim, and a poor risk customer has a probability of 0.025 of filing an accident claim. a customer is chosen at random. 2 (a) what is the probability that the customer is a good risk and has filed a claim? (b) what is the probability that the customer has filed a claim? (c) given that the customer has filed a claim, what is the probability that the customer is a good risk?