Question 4: Consider the following queueing network that requests from outside of the system are based on Poisson distribution and servers follow exponential distribution. The arrival rate to the system is 4 jobs per second and the CPU divides jobs equally between printer and disk. Only 40 percent of jobs are completed and send out from the Disk. The service time at each node is presented in the table below: Service Time 0.04 Sec Node No. 1 2 Device CPU Printer 3 4 Printer Disk I/O 0.03 Sec 0.06 Sec 0.05 Sec TO Devices CPU Disk Part a) Compute the arrival rate for each node. Part b) Find the steady state distribution of the number of customers at each node. Part c) What is the probability of having empty queue before the print node. Part d) Find the expected total number of jobs in the system