A Major Distributor Buys Shoes from a Supplier

Essay

A major distributor buys shoes from a supplier. The distributor randomly samples the shoes to inspect for quality. The distributor's specifications state that a delivery of 50 pairs of shoes will be accepted only if the number of defective pairs of shoes in a sample of 5 pairs is two or less. Based on the sampling plan, what is the probability of accepting the delivery of 50 pairs of shoes if the actual percent defective is 0.40?