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Decide whether you can use the 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 the binomial distribution to find the indicated probabilities. A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 500 adults and ask them to name their favorite sport. Complete parts (a) through (d). Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. Yes, because both np 25 and nq 2 5. OB. No, because nq <5. OC. No, because np <5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 47. (Round to four decimal places as needed.)

Decide whether you can use the 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 the binomial distribution to find the indicated probabilities. A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 500 adults and ask them to name their favorite sport. Complete parts (a) through (d). Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. Yes, because both np 25 and nq 2 5. OB. No, because nq <5. OC. No, because np <5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 47. (Round to four decimal places as needed.)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 43E
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Question Help Decide whether you can use the 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 the binomial distribution to find the indicated probabilities. A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 500 adults and ask them to name their favorite sport. Complete parts (a) through (d). Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A Yes, because both np25 and nq2 5. O B. No, because nq<5. OC. No, because np<5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 47. (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 6 P remaining 6 parts Clear All 9ME
Transcribed Image Text:Question Help Decide whether you can use the 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 the binomial distribution to find the indicated probabilities. A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 500 adults and ask them to name their favorite sport. Complete parts (a) through (d). Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A Yes, because both np25 and nq2 5. O B. No, because nq<5. OC. No, because np<5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 47. (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 6 P remaining 6 parts Clear All 9ME
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