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An infinite source queuing system has an arrival rate of 45 customers per hour and an average service time of 2 minutes per customer. The arrival rate can be described as Poisson, and the service time distribution can be described as negative exponential. Suppose it has been determined that the average number of customers waiting for service is 1.929. There are two servers. Determine:

a. The average number of customers being served.

b. The average number of customers in the system.

c. The average time customers wait in line before being served.

d. The average time customers spend in the system.

e. System utilization.

f. What is the probability that there will be less than six customers arriving in three minutes?

g. What is the probability that there will be two or more customers arriving in three minutes?

h. What is the probability of no more than three minutes elapsing between successive arrivals of customers?

i. What is the probability that the service time is less than three minutes?

j. What is the probability that the service time is more than 2.5 minutes?

k. What is the probability that the service time is between 2.5 and 3 minutes?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9371069

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