Suppose that a machine shop orders 500 bolts from a supplier. To determine whether to accept the shipment of bolts, the manager of the facility randomly selects 12 bolts. If none of the 12 randomly selected bolts are found to be defective, he concludes that the shipment is acceptable. If 10% of the bolts in the population are defective, what is the probability that none of the selected bolts are defective?

Approach Some statistical software has the ability to determine hypergeometric probabilities. The steps for determining hypergeometric probabilities using Minitab, Excel, or StatCrunch can be found in the Technology Step-by-Step.