A shipment of 580 fasteners that contains 12 defective fasteners was sent to a manufacturing plant. The quality control manager at the plant randomly selects 20 fasteners and inspects them.
(a) What is the probability that no defective fasteners are found during the inspection?
(b) What is the probability that at least one defective fastener is found (and hence the shipment is rejected)?
(c) What is the probability that exactly two defective fasteners are found during the inspection?