The Fred Meyer store in Portland has just received a large shipment of fitted baseball caps from Gradient Sporting Goods. In previous orders, a number of the hat sizes have been mislabeled. Because of this, the shipping and receiving manager plans to randomly check 20 of the hats in the current shipment. If 10% of the hats in the current shipment are mislabeled, how likely is it that the sample of 20 will have?
a. at least three mislabeled hats?
b. no more than one mislabeled hat?
c. If 10% of the hats in the shipment are mislabeled, there’s less than a 2% chance that more than _____ of the 20 hats in the sample will be mislabeled.