In a large shipment of electronic parts, 0.015 are bad. The parts are tested using a machine that correctly identifies bad parts as defective with a probability of 0.98, and correctly identifies good parts as non defective with a probability of 0.95.
a. If a part is randomly sampled from the shipment and tested, what is the probability that the testing machine identifies the part as defective?
b. Given that the test indicates a nondefective part, what is the probability the part is truly good?