5.79 Suppose x is a binomial random variable with p = .4 and NW n = 25. a. Would it be appropriate to approximate the prob- ability distribution of x with a normal distribution? Explain. b. Assuming that a normal distribution provides an ade- quate approximation to the distribution of x, what are the mean and variance of the approximating normal distribution? c. Use Table I of Appendix B or statistical software to find the exact value of P(x ≥9). d. Use the normal approximation to find P(x ≥ 9).
5.79 Suppose x is a binomial random variable with p = .4 and NW n = 25. a. Would it be appropriate to approximate the prob- ability distribution of x with a normal distribution? Explain. b. Assuming that a normal distribution provides an ade- quate approximation to the distribution of x, what are the mean and variance of the approximating normal distribution? c. Use Table I of Appendix B or statistical software to find the exact value of P(x ≥9). d. Use the normal approximation to find P(x ≥ 9).
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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