(a) Use a computer program to calculate the exact probability of obtaining one or more defectives in a sam-ple of size 100 taken from a lot of 1,000 manufactured products assumed to contain six defectives.(b) Approximate this probability using the appropriatebinomial distribution.(c) Approximate this probability using the appropriatePoisson distribution and compare the results of parts (a),(b), and (c).
(a) Use a computer program to calculate the exact probability of obtaining one or more defectives in a sam-ple of size 100 taken from a lot of 1,000 manufactured products assumed to contain six defectives.(b) Approximate this probability using the appropriatebinomial distribution.(c) Approximate this probability using the appropriatePoisson distribution and compare the results of parts (a),(b), and (c).
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Question
(a) Use a computer program to calculate the exact
ple of size 100 taken from a lot of 1,000 manufactured
products assumed to contain six defectives.
(b) Approximate this probability using the appropriate
binomial distribution.
(c) Approximate this probability using the appropriate
Poisson distribution and compare the results of parts (a),
(b), and (c).
(b) Approximate this probability using the appropriate
binomial distribution.
(c) Approximate this probability using the appropriate
Poisson distribution and compare the results of parts (a),
(b), and (c).
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