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Poisson Distribution Analysis

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A textile manufacturer estimates that it produces bolts of cloth with flaws following a Poisson distribution that has an average of one flaw per 200 feet of cloth.

a. Find the probability that a given 200-foot length of cloth will have no flaws.
b. What is the probability that there will be at least one flaw within a given 200 foot length of cloth?
c. What is the probability that there will be two or fewer flaws in a given 300 foot length of cloth?

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Solution Preview

A textile manufacturer estimates that it produces bolts of cloth with flaws following a Poisson distribution that has an average of one flaw per 200 feet of cloth.

a. Find the probability that a given 200-foot length of cloth will have no flaws

Solution. Let X be the number of flaws that a given 200-foot length of cloth will ...

Solution Summary

This solution provides a detailed, step-by-step explanation of the given probability problem.

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