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?

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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Description: An experienced invoice clerk makes an error once inevery 100 invoices, on average.(a) What is the probability of finding a batch of 100invoices without error?(b) What is the probability of finding such a batchwith more than two errors? Calculate the

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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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