Suppose that ants are exiting a mound according to a Poisson process with a mean rate of  12 ants  per minute. If a point in time is selected, what is the probability that more than 3 seconds will elapse from that time before the next ant exits the mound? What is the mean time (in seconds) until the next ant exits? Round your answers to four decimal places, if necessary.

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 that ants are exiting a mound according to a Poisson process with a mean rate of 

12 ants

 per minute. If a point in time is selected, what is the probability that more than 3 seconds will elapse from that time before the next ant exits the mound? What is the mean time (in seconds) until the next ant exits? Round your answers to four decimal places, if necessary.
 
P(T > 8) = 

 


 

μ

T = 

 
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