Let x be a binomial random variable with n = 20 and p = 0.05. Calculate p(0) and p(1) using Table 1 to obtain the exact binomial probability. (Round your answers to three decimal places.) p(0) = p(1) = Calculate p(0) and p(1) using the Poisson approximation. (Round your answer to three decimal places.) p(0) = p(1) = Compare your results. Is the approximation accurate? O No the approximation is not accurate. At least one the differences between the probabilities from the Poisson approximation and the exact probabilities from the binomial distribution is much greater than 0.05. O Yes the approximation is reasonably accurate. In general, the probabilities from the Poisson approximation are all well within 0.05 of the exact probabilities from the binomial distribution. You may need to use the appropriate appendix table or technology to answer this question.
Let x be a binomial random variable with n = 20 and p = 0.05. Calculate p(0) and p(1) using Table 1 to obtain the exact binomial probability. (Round your answers to three decimal places.) p(0) = p(1) = Calculate p(0) and p(1) using the Poisson approximation. (Round your answer to three decimal places.) p(0) = p(1) = Compare your results. Is the approximation accurate? O No the approximation is not accurate. At least one the differences between the probabilities from the Poisson approximation and the exact probabilities from the binomial distribution is much greater than 0.05. O Yes the approximation is reasonably accurate. In general, the probabilities from the Poisson approximation are all well within 0.05 of the exact probabilities from the binomial distribution. You may need to use the appropriate appendix table or technology to answer this question.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I need help with each part of this question

Transcribed Image Text:Let x be a binomial random variable with n = 20 and p = 0.05.
Calculate p(0) and p(1) using Table 1 to obtain the exact binomial probability. (Round your answers to three decimal places.)
p(0) =
p(1) =
Calculate p(0) and p(1) using the Poisson approximation. (Round your answer to three decimal places.)
p(0) =
p(1) =
Compare your results. Is the approximation accurate?
O No the approximation is not accurate. At least one the differences between the probabilities from the Poisson approximation and the exact probabilities from the binomial distribution is much greater than 0.05.
O Yes the approximation is reasonably accurate. In general, the probabilities from the Poisson approximation are all well within 0.05 of the exact probabilities from the binomial distribution.
You may need to use the appropriate appendix table or technology to answer this question.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman