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.

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 39 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 24, (b) at least 29, and (c) at most 23.

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Part 1

Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer.

A.

No, because np <5.

B.

No, because nq <5.

C.

Yes, because both np 5 and nq 5.

Your answer is correct.

Part 2

(a) Find the probability that the number who are more likely to enroll if their college offers new programs tailored to the new economy is exactly 24.

enter your response here

(Round to four decimal places as needed.)