Question: Consider the queuing system in the figure, where packets whose service is completed by Servers 1 and 2 go to Server 3. The service time

Consider the queuing system in the figure, where packets whose service is completed by Servers 1 and 2 go to Server 3. The service time of Server 1, 2, and 3 is exponential with rate # = 1 pks/s, /2 = 2 pkt/s and /3= 3 pkt/s, respectively. At time t = 0, packet C arrives in the buffer of Server 1. When C arrived, Server 1 has packet A in service while Server 2 has packet B in service. C A 1 3 B 2 a) Compute the probability that A exits the system before any other packets move to server 3. b) Compute the probability that B exits the system before any other packets move to server 3. c) Compute the expected time T needed by Packet A to exist the system

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