The switchboard in a Minneapolis law office gets an average of 2 incoming phone calls during the noon hour on Mondays. Experience shows that the existing staff can handle up to six calls in an hour. Let X = the number of calls received at noon. What is the probability that the office receives a. exactly 4 calls at noon on Monday.  b. exactly 10 calls at noon on Monday

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
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The switchboard in a Minneapolis law office gets an average of 2 incoming phone calls during the noon hour on Mondays. Experience shows that the existing staff can handle up to six calls in an hour. Let X = the number of calls received at noon. What is the probability that the office receives

a. exactly 4 calls at noon on Monday. 
b. exactly 10 calls at noon on Monday. 

Expert Solution
Step 1

 Let X = the number of calls received at noon. 

Given,

lamda=2

By poisson distribution

P(X=x)=e-lamda *lamdaxx!

 

 

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