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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 20 standard deviation 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 n ≥ 30. No, because np ≥ 5 and n(1 - p) ≥ 5. Yes, because np ≥ 5 and n(1 - p) ≥ 5. Yes, because np < 5 and n(1 - p) < 5. (c) What is the probability of exactly 25 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0755 x (d) What is the probability of 16 to 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.7394 (e) What is the probability of 12 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0521

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 20 standard deviation 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 n ≥ 30. No, because np ≥ 5 and n(1 - p) ≥ 5. Yes, because np ≥ 5 and n(1 - p) ≥ 5. Yes, because np < 5 and n(1 - p) < 5. (c) What is the probability of exactly 25 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0755 x (d) What is the probability of 16 to 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.7394 (e) What is the probability of 12 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0521

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 20 standard deviation 4 (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. No, because np < 5 and n(1 - p) < 5. Yes, because n ≥ 30. No, because np ≥ 5 and n(1 - p) ≥ 5. Yes, because np ≥ 5 and n(1 - p) ≥ 5. Yes, because np < 5 and n(1 - p) < 5. (c) What is the probability of exactly 25 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0755 x (d) What is the probability of 16 to 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.7394 (e) What is the probability of 12 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0521 X
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 20 standard deviation 4 (b) Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain. No, because np < 5 and n(1 - p) < 5. Yes, because n ≥ 30. No, because np ≥ 5 and n(1 - p) ≥ 5. Yes, because np ≥ 5 and n(1 - p) ≥ 5. Yes, because np < 5 and n(1 - p) < 5. (c) What is the probability of exactly 25 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0755 x (d) What is the probability of 16 to 24 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.7394 (e) What is the probability of 12 or fewer successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0521 X
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