Points: 0.13 of 1 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 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. Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer. A. No, because nq < 5. B. Yes, because both np5 and nq 5. C. No, because np < 5. (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 25. 0.1291 (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. A. =24.8 14 E. 25 B. =24.8 14 25 C. D. =24.8 O =24.8 14 25 35 The normal distribution cannot be used. (b) Find the probability that the number who are more likely to enroll if their college offers new programs tailored to the new economy is at least 30. 0.0629 (Round to four decimal places as needed.) 14 25