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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 7​% say their favorite sport is auto racing. You randomly select 300 adults and ask them to name their favorite sport. Complete parts​ (a) through​ (d).

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 7​% say their favorite sport is auto racing. You randomly select 300 adults and ask them to name their favorite sport. Complete parts​ (a) through​ (d).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 7​% say their favorite sport is auto racing. You randomly select 300 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. No, because np < 5. B. Yes, because both np >5 and nq 2 5. O C. No, because ng < 5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 26. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. О в. OC. D. H=21 H=21 H=21 The normal distribution cannot be used to approximate the binomial distribution. 26 36 26 36 26 36 (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 29. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. В. D. H=21 H=21 H=21 The normal distribution cannot be used to approximate the binomial distribution. 29 36 29 36 29 36 (c) Find the probability that the number of people who say auto racing is their favorite sport is between 18 and 23, inclusive. (Round to four decimal places as needed.)
Transcribed Image Text:Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. No, because np < 5. B. Yes, because both np >5 and nq 2 5. O C. No, because ng < 5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 26. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. О в. OC. D. H=21 H=21 H=21 The normal distribution cannot be used to approximate the binomial distribution. 26 36 26 36 26 36 (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 29. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A. В. D. H=21 H=21 H=21 The normal distribution cannot be used to approximate the binomial distribution. 29 36 29 36 29 36 (c) Find the probability that the number of people who say auto racing is their favorite sport is between 18 and 23, inclusive. (Round to four decimal places as needed.)
Sketch the graph of the normal distribution with the indicated probability shaded. O A. В. OC. OD. H=21 H=21 H=21 The normal distribution cannot be used to approximate the binomial distribution. 18 23 36 18 23 36 18 23 36 (d) Identify any unusual events. Explain. A. The event in part (b) is unusual because its probability is less than 0.05. B. The event in part (c) is unusual because its probability is less than 0.05. C. The event in part (a) is unusual because its probability is less than 0.05. D. There are no unusual events, because all of the probabilities are greater than 0.05. ------- -------- -----------
Transcribed Image Text:Sketch the graph of the normal distribution with the indicated probability shaded. O A. В. OC. OD. H=21 H=21 H=21 The normal distribution cannot be used to approximate the binomial distribution. 18 23 36 18 23 36 18 23 36 (d) Identify any unusual events. Explain. A. The event in part (b) is unusual because its probability is less than 0.05. B. The event in part (c) is unusual because its probability is less than 0.05. C. The event in part (a) is unusual because its probability is less than 0.05. D. There are no unusual events, because all of the probabilities are greater than 0.05. ------- -------- -----------
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