Answer Happy

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. Yes, because n 30. O No, because np < 5 and 1(1 - 0) < 5. Yes, because np < 5 and n(i-p) < 5. Yes, because np 25 and n(1-0) 25. O No, because np 25 and (1 - ) 25. (c) What is the probability of exactly 23 successes? Use the normal approximation of the binomial distribution to answer this question. (Round your answer to four decimal places.) 0.0749 (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.) 0.7416 (2) 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.) 0.0838