The number of requests for assistance received by a towing service is a poisson process with rate α = 2 per hour. After realizing that he did not miss any calls for assistance when taking a 15 minute break, the operator decides to take another 15-minute break. What is the probability that he will not miss any calls again? We want to determine P[no calls in time interval (0 , 1/2)│no calls in time interval (0 , 1/4)], where the unit used for time interval is hours.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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 The number of requests for assistance received by a towing service is a poisson process with rate α = 2 per hour. After realizing that he did not miss any calls for assistance when taking a 15 minute break, the operator decides to take another 15-minute break. What is the probability that he will not miss any calls again?

We want to determine P[no calls in time interval (0 , 1/2)│no calls in time interval (0 , 1/4)], where the unit used for time interval is hours.

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