An experienced invoice clerk makes an error once in every 100 invoices, on average. (a) What is the probability of finding a batch of 100 invoices without error? (b) What is the probability of finding such a batch with more than two errors? Calculate the answers using both the Binomial and Poisson distributions. If you try to solve the problem using the Normal method, how accurate is your answer?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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An experienced invoice clerk makes an error once in
every 100 invoices, on average.
(a) What is the probability of finding a batch of 100
invoices without error?
(b) What is the probability of finding such a batch
with more than two errors? Calculate the answers
using both the Binomial and Poisson distributions. If
you try to solve the problem using the Normal
method, how accurate is your answer?
Transcribed Image Text:An experienced invoice clerk makes an error once in every 100 invoices, on average. (a) What is the probability of finding a batch of 100 invoices without error? (b) What is the probability of finding such a batch with more than two errors? Calculate the answers using both the Binomial and Poisson distributions. If you try to solve the problem using the Normal method, how accurate is your answer?
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