Chapter 5.5, Problem 26E

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.

26. College Graduates Fourteen percent of U.S. college graduates want to work for a large company. You randomly select 1500 U.S. college graduates and ask them whether they want to work for a large company. Find the probability that the number who want to work for a large company is (a) exactly 175, (b) no more than 225, and (c) at most 200. (Source: Accenture)