The number of work-related injuries permonth in a manufacturing plant is knownto follow a Poisson distribution, with amean of 2.5 work-related injuries amonth. What is the probability that in agiven month, no work-related injuriesOccur? That at least one work-relatedinjury occurs?

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Description: The number of work-related injuries permonth in a manufacturing plant is knownto follow a Poisson distribution, with amean of 2.5 work-related injuries amonth. What is the probability that in agiven month, no work-related injuriesOccur? That at leas

Given:λ = mean=2.5x = Number of injuries occur. For the first case, there is not injury means x=0.…

Answered: ow a Poisson distribution, with a n of…

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ow a Poisson distribution, with a n of 2.5 work-related injuries a h. What is the probability that in month, no work-related injuries

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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

The number of work-related injuries per
month in a manufacturing plant is known
to follow a Poisson distribution, with a
mean of 2.5 work-related injuries a
month. What is the probability that in a
given month, no work-related injuries
Occur? That at least one work-related
injury occurs?

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