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
icon
Related questions
Question
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).
Transcribed Image Text: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).
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill