A certain manufacturer produces a cars at two factories labeled A and B . 10% of the cars produced at factory A are found to be defective , while 5% of the cars produced at the factory B are defective . If the factory A produced 200,000 cars per year and factory B produced 300,000 cars per year compute the following a. The probability of purchasing a defective car from the manufacturer b. If a car purchasing the manufacturer is defective , what is the probability that it came from factory A