In a certain system, a customer must first be served by server 1 and then by server 2 and then by server 3. The service times at server i are exponential with rate i,i = 1, 2, 3. An arrival finding server 1 busy waits in line for that server. Upon completion of service at server 1, a customer either enters service with server 2 if that server is free or else remains with server 1 (blocking any other customer from entering service) until server 2 is free. The same system is valid for the third server as well. Customers depart the system after being served by server 3. Suppose that when you arrive there is two customers in the system and that customer is being served by server 1. What is the expected total time you spend in the system?