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(a) What are the mean and standard deviation? (Round your answers to two decimal places.) mean standard deviation (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain No, because no < 5 and n(1-p) < 5. Yes, because no a 5 and n(-p) a S. No, because no a 5 and n(1-P) 25. Yes, because n 2 30. Yes, because no 5 and n(1-P)<5. (6) What is the probability of 220 to 230 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer (d) What is the probability of 250 or more successes? Use the normal approximation of the binomial distribution to answer this question, (Round your answers

(a) What are the mean and standard deviation? (Round your answers to two decimal places.) mean standard deviation (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain No, because no < 5 and n(1-p) < 5. Yes, because no a 5 and n(-p) a S. No, because no a 5 and n(1-P) 25. Yes, because n 2 30. Yes, because no 5 and n(1-P)<5. (6) What is the probability of 220 to 230 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer (d) What is the probability of 250 or more successes? Use the normal approximation of the binomial distribution to answer this question, (Round your answers

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
Problem 1P
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Assume a binomial probability distribution has p 0.80 and n = 300. (a) What are the mean and standard deviation? (Round your answers to two decimal places.) mean standard deviation (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain No, because no < 5 and n(1-p) < 5. Yes, because no 25 and n(1-p) a 5. No, because no a 5 and n(1-P) 25. Yes, because n 2 30. Yes, because no 5 and n(1-p) < 5. () What is the probability of 220 to 230 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) (d) What is the probability of 250 or more successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) (e) What is the advantage of using the normal probability distribution to approximate the binomial probabilities? The advantage would be that using the normal probability distribution to approximate the binomial probabilities makes the calculations less accurata The advantage would be that using the normal probability distribution to approximate the binomial probabilities increases the number of calculations. The advantage would be that using the normal probability distribution to approximate the binomial probabilities makes the calculations more accurate.
Transcribed Image Text:Assume a binomial probability distribution has p 0.80 and n = 300. (a) What are the mean and standard deviation? (Round your answers to two decimal places.) mean standard deviation (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain No, because no < 5 and n(1-p) < 5. Yes, because no 25 and n(1-p) a 5. No, because no a 5 and n(1-P) 25. Yes, because n 2 30. Yes, because no 5 and n(1-p) < 5. () What is the probability of 220 to 230 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) (d) What is the probability of 250 or more successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) (e) What is the advantage of using the normal probability distribution to approximate the binomial probabilities? The advantage would be that using the normal probability distribution to approximate the binomial probabilities makes the calculations less accurata The advantage would be that using the normal probability distribution to approximate the binomial probabilities increases the number of calculations. The advantage would be that using the normal probability distribution to approximate the binomial probabilities makes the calculations more accurate.
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