Chapter 5.5, Problem 23E

Approximating Binomial Probabilities In Exercises 19-26, determine whether you can use a normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use a binomial distribution to find the indicated probabilities. Identify any unusual events. Explain.

23. Favorite Sport A survey of U.S. adults found that 33% name professional football as their favorite sport. You randomly select 14 U.S. adults and ask them to name their favorite sport. Find the probability that the number who name professional football as their favorite sport is (a) exactly 8, (b) at most 4, and (c) fewer than 6. (Source: The Harris Poll)