Discrete structures mathematics
two different factories both produce a certain automobile part. the probability that a component from the first factory is defective is 4%, and the probability that a component from the second factory is defective is 5%. in a supply of 160 of the parts, 100 were obtained from the first factory and 60 from the second factory.
(a) what is the probability that a part chosen at random from the 160 is from the first factory?
(b) what is the probability that a part chosen at random from the 160 is from the second factory?
(c) what is the probability that a part chosen at random from the 160 is defective?
(d) if the chosen part is defective, what is the probability that it came from the first factory?