Reconsider the example of M/M/1, where =5, =6 in our MS class notes. Now use a queueing model with finite capacity N=4 to analyze this system. (40 pts) (1)Show the state transition diagram. (10 pts) (2)Write down the balance equations to find the probability of exactly n customers in the system. (20 pts) (3)Compute the expected waiting time in the system. (10 pts)