Chapter 5, Problem 5CT

In Exercises 5 and 6. 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.

5. Sixty-nine percent of U.S. college graduates expect to stay at their first employer for three or more years. You randomly select 18 U.S. college graduates and ask them whether they expect to stay at their first employer for three or more years. Find the probability that the number who expect to stay at their first employer for three or more years is (a) exactly 10. (b) less than 7. and (c) at least 15. Identify any unusual events. Explain. (Source: Accenture)