Question: Q 4 . Consider a Jackson network with three service facilities having the parameter values shown below.a . Find the total arrival rate at each

Q4. Consider a Jackson network with three service facilities having the parameter values shown below.a. Find the total arrival rate at each of the facilities. (10 pts)b. Find the steady state distribution of the number of customers at facility 1, facility 2 and facility 3.(10 pts)c. What is the probability that all the facilities have empty queues? (5 pts)d. Find the expected total number of customers in the system. (5 pts)e. Find the expected total waiting time for a customer. (5 pts)
Q4. Consider a Jackson network with three service facilities having the

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