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29 Oct 2021

Given information

Given, the switchboard in a Minneapolis law office gets an average of 5.5 incoming phone calls during the noon hour on Mondays. Experience shows that the existing staff can handle up to six calls in an hour. And = the number of calls received at noon.
 
Then we have to find the probability that the law office receives six calls at noon.

 

Step-by-step explanation

Step 1.
According to the given information, = the number of calls received at noon. And follows the Poisson distribution with parameter 5.5.

Then the probability that the law office receives six calls at noon will be,  

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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