1. A claim was recently made on national television that two of every three doctors recommend a particular pain killer. suppose a random sample of n=300 doctors revealed that 180 said that they would recommend the painkiller. If the TV claim is correct, what is the probability of 180 or fewer in the sample agreeing? (answer:0.0071)
2. Major textbook publisher has a contract with a printing company. Part of the contract stipulates that no more than 5 percent of the pages should have any type of printing error. Suppose that the company selects a random sample of 400 pages and finds 33 that have an error. If the printer is meeting the standard, what is the probability that a sample this size would have 33 or more errors? (answer:0.0014)