Probability

Question

A shipment of 60 game players, including 8 that are defective, is sent to a retail store. the receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found to be defective. what is the probability that the shipment will be rejected?

Answer 1

in the shipment of 60 games, there are 8 defective units

the defect rate is 8/60 = 1/7.5

thus, for every 7.5 units we expect to find at least one defective unit

 

as a result, in a random sample of 10 units, it is almost certain that at least one unit will be defective, and that the shipment will be rejected 10 x 1/7.5 = 10/7.5 = 1.3