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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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