4) An advertising company believes that for an ad campaign to be successful, at least 80% of those seeing a television commercial must be able to recall the name of the company one hour after viewing it. The company plans to show the commercial to a random sample of 20 people.

a) Assuming that the advertisement will be successful, what is the expected number of people in the sample who will recall the company name one hour after viewing? (16)

b) What is the probability of 11 or fewer people being able to recall the name? (0.001)

c) Based on your results, what conclusion might the company make about this ad campaign? (since this probability is very small and not close to the success rate of the population, i. e. 80%, the ad campaign will not be successful)