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Application of Poisson distribution

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During the period of time phone-in reservations are being taken at a local university, calls come in at a rate of one every ten minutes.

a. What is the expected number of calls in one hour?

b. What is the probability of 4 calls in 5 minutes?

c. What is the probability of 5 calls in a ten minute period?

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Solution Summary

The solution explain how Poisson distribution can be applied in a practical situation.

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a. Let X denotes the number of calls in one hour. Since it is given that calls come in at a rate of one every ten minutes, the rate of the number of calls in one hour is 60*(1/10) =6. Thus X follows a Poisson distribution with parameter Lamda= 6.
For a Poisson distribution we have, the ...

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