A company manufactures integrated circuits, ICs, using two machines. Call them A and B. Machine A manufactures defective chips with probability of 0.2%. Machine B produces defective chips with a probability of 10%. The company makes 95% of its chips using machine A and 5% using machine B.
a) If a chip is found defective, what is the conditional probability that it was made by machine A?
b) If a chip is found defective, what is the conditional probability that it was made by machine B?