15. Two different factories both produce a certain automobile part. The probability that a component from the rst factory is defective is 2% , and the probability that a component from the second factory is defective is 5% . In a supply of 180 of the parts, 1110 were obtained from the rst factory and so from the second factory. a. What is the probability That a part chosen at random from the 180 is from the rst factory? I]. What is the probability that a part chosen at random from the 18!] is from the second factory? c. What is the probability That a part chosen at random from the 180 is defective? d. If the chosen part is defective, what is the probability that it came from the first factory