The number of phone calls per five minutes in an office has a mean of six.(a) What is the probability there will be exactly five calls in a five-minute period?

Question

The number of phone calls per five minutes in an office has a mean of six.(a) What is the probability there will be exactly five calls in a five-minute period?
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Solution 1

To find the probability of exactly five phone calls in a five-minute period, we can use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space.

The formula for the Poisson distribution is:

P(x; λ) = ( Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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