In a random experiment each success and failure has a certain probability of occurrence. This probability can be used to find overall probability of the required outcome. Consider a similar scenario in which a machine shop orders 500 bolts from a supplier. To determine whether to accept the shipment of bolts, the manager of the facility randomly selected 12 bolts. If none of the 12 randomly selected bolts is found to be defective, he can conclude that the shipment is acceptable.

a)If 10% of the bolts in the population are defective, what is the probability that none of the selected bolts are defective? (b) How do you think can a prediction be made about getting non defective bolts if 10% of the bolts in the population are defective? Discuss the conclusion.