Super Bowl XLVI was played between the New York Giants and the New England Patriots in Indianapolis.Due to a decade-long rivalry between the Patriots and the city's own team,the Colts,most Indianapolis residents were rooting heartily for the Giants.Suppose that 90% of Indianapolis residents wanted the Giants to beat the Patriots. Refer to Exhibit 7-9.What is the probability that from a sample of 200 Indianapolis residents,fewer than 170 were rooting for the Giants in Super Bowl XLIV?
A)0.0091
B)0.0212
C)0.4954
D)0.9908

Question

Quizplus · Accepted Answer

The problem involves a binomial distribution with n = 200 and p = 0.9. Using the normal approximation to the binomial distribution, the mean is np = 180 and the standard deviation is sqrt(np(1-p)) = sqrt(18). We find the z-score for 169.5 (continuity correction) and calculate the probability. The closest probability to the options given is 0.0091.

Super Bowl XLVI Was Played Between the New York Giants