Suppose the number of errors logged on a network follows a Poisson distribution. The mean time between errors is 4 minutes. Answer the following questions.   a) Find the probability the wait time until the next error is logged is more than 3 minutes.         b) Find the probability the wait time until the next error is logged is less than 45 seconds.         c) Find the probability the wait time until the next error is logged is between 3 minutes and 5 minutes.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose the number of errors logged on a network follows a Poisson distribution. The mean time between errors is 4 minutes. Answer the following questions.

 

a) Find the probability the wait time until the next error is logged is more than 3 minutes.

 

 

 

 

b) Find the probability the wait time until the next error is logged is less than 45 seconds.

 

 

 

 

c) Find the probability the wait time until the next error is logged is between 3 minutes and 5 minutes.

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