Suppose that 75 percent of the people in a certain metropolitan area live in the city and 25 percent in the suburbs. If 1200 peo
ple attending a certain concert represent a random sample from the metropolitan area, what is the probability that the number of people from the suburbs attending the concert will be fewer than 270?
Probability is given by number of possible outcomes ÷ number of total outcomes
Number of possible outcomes = 270, number of total outcomes = 1200
Probability (the number of people from the suburbs attending the concert is 270) = 270/1200 = 9/40
Probability (the number of people from the suburbs attending the concert is fewer than 270) means that the number of people from the suburbs attending the concert is not 270 = 1 - 9/40 = (40-9)/9 = 31/40
