According to a recent census, about 63% of Manitoba residents live in cities with a population of 10,000 or more people. A catalogue sales company in Ontario just purchased a list of Manitoba consumers. Its market analyst randomly selects 25 people from this list.

a. What is the probability that exactly 15 people live in metropolitan areas?

b. What is the probability that the analyst would get more than 20 people in this sample who live in metropolitan areas?

c. Suppose the analyst got more than 20 people who live in metropolitan areas from the group of 25. What might she conclude about the company’s list of Manitoba consumers? What might she conclude about the census figure?