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You may need to use the appropriate appendix table or technology to answer this question. A binomial probability distribution has p = 0.20 and n = 100. (a) What are the mean and standard deviation? mean standard deviation 20 4 (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. O No, because np < 5 and n(1 - p) < 5. Yes, because np > 5 and n(1-P) > 5. O No, because np > 5 and n(1-p) ≥ 5. O Yes, because np < 5 and n(1 - p) < 5. O Yes, because n ≥ 30. (c) What is the probability of exactly 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0577 X (d) What is the probability of 17 to 23 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) (e) What is the probability of 15 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

You may need to use the appropriate appendix table or technology to answer this question. A binomial probability distribution has p = 0.20 and n = 100. (a) What are the mean and standard deviation? mean standard deviation 20 4 (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. O No, because np < 5 and n(1 - p) < 5. Yes, because np > 5 and n(1-P) > 5. O No, because np > 5 and n(1-p) ≥ 5. O Yes, because np < 5 and n(1 - p) < 5. O Yes, because n ≥ 30. (c) What is the probability of exactly 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0577 X (d) What is the probability of 17 to 23 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) (e) What is the probability of 15 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

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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You may need to use the appropriate appendix table or technology to answer this question. A binomial probability distribution has p = 0.20 and n = 100. (a) What are the mean and standard deviation? mean standard deviation 20 4 (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. O No, because np < 5 and n(1 - p) < 5. Yes, because np > 5 and n(1-P) > 5. O No, because np > 5 and n(1-p) ≥ 5. O Yes, because np < 5 and n(1 - p) < 5. O Yes, because n ≥ 30. (c) What is the probability of exactly 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0577 X (d) What is the probability of 17 to 23 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) (e) What is the probability of 15 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. A binomial probability distribution has p = 0.20 and n = 100. (a) What are the mean and standard deviation? mean standard deviation 20 4 (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. O No, because np < 5 and n(1 - p) < 5. Yes, because np > 5 and n(1-P) > 5. O No, because np > 5 and n(1-p) ≥ 5. O Yes, because np < 5 and n(1 - p) < 5. O Yes, because n ≥ 30. (c) What is the probability of exactly 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0577 X (d) What is the probability of 17 to 23 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) (e) What is the probability of 15 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)
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