In an M/M/1 queueing system, the arrival rate is 7 customers per hour and the service rate is 12 customers per hour. Note: Round your answers to 3 decimal places. What is the probability that the server will be idle?       What is the probability of having exactly 4 customers in the system?       What is the probability of having 4 or fewer customers in the system?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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In an M/M/1 queueing system, the arrival rate is 7 customers per hour and the service rate is 12 customers per hour.

Note: Round your answers to 3 decimal places.

  1. What is the probability that the server will be idle?

     

     

     

  2. What is the probability of having exactly 4 customers in the system?

     

     

     

  3. What is the probability of having 4 or fewer customers in the system?

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