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An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results. ......

An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results. ......

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Problem Statement: Manufacturing Defect Probability** An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect. **Tasks:** (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of \( n \) and small values of \( p \). Repeat (a) using a Poisson distribution and compare the results.
Transcribed Image Text:**Problem Statement: Manufacturing Defect Probability** An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect. **Tasks:** (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of \( n \) and small values of \( p \). Repeat (a) using a Poisson distribution and compare the results.
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