In a survey of U.S. college students, 62% said that if their college offers new programs tailored to the new economy, it will make them more likely to re-enroll. You randomly select 40 college students.

Find the probability that the number who are more likely to enroll if their college offers new programs tailored to the new economy is

(a) exactly 25,

(b) at least 30, and

(c) at most 24.

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.