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?

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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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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