You may need to use the appropriate appendix table or technology to answer this question. Assume a binomial probability distribution has p = 0.60 and n = 200. (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. O Yes, because np < 5 and n(1 – p) < 5. O Yes, because n 2 30. Yes, because np 2 5 and n(1 - p) 2 5. O No, because np < 5 and n(1 - p) < 5. No, because np 2 5 and n(1 – p) 2 5. (c) What is the probability of 100 to 110 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 130 or more successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)

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Questions a, c, d

You may need to use the appropriate appendix table or technology to answer this question.
Assume a binomial probability distribution has p = 0.60 and n = 200.
(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.
O Yes, because np < 5 and n(1 - p) < 5.
Yes, because n 2 30.
Yes, because np 2 5 and n(1 - p) 2 5.
No, because np < 5 and n(1 - p) < 5.
No, because np 2 5 and n(1 - p) 2 5.
(c) What is the probability of 100 to 110 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 130 or more 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. Assume a binomial probability distribution has p = 0.60 and n = 200. (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. O Yes, because np < 5 and n(1 - p) < 5. Yes, because n 2 30. Yes, because np 2 5 and n(1 - p) 2 5. No, because np < 5 and n(1 - p) < 5. No, because np 2 5 and n(1 - p) 2 5. (c) What is the probability of 100 to 110 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 130 or more successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.)
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