Chapter 5.5, Problem 25E

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.

25. College Graduates Fifty-one percent of U.S. college graduates consider themselves underemployed. You randomly select 250 U.S. college graduates and ask them whether they consider themselves underemployed. Find the probability that the number who consider themselves underemployed is (a) no more than 125, (b) no fewer than 135, and (c) between 100 and 125, inclusive. (Source: Accenture)