An infinite source queuing system has arrival rate of 45 customers per hour and average service time of two minutes per customer. The arrival rate can be stated as Poisson, and service time distribution can be stated as negative exponential. Assume it has been determined that the average number ofcustomers waiting for service is 1.929. There're two servers. Find out:
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 ofno more than three minutes elapsing between successive arrivals ofcustomers?
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?