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Customers arrive to a single server system in accordance with a Poisson pro- cess with rate...

Customers arrive to a single server system in accordance with a Poisson pro- cess with rate λ. Arrivals only enter if the server is free. Each customer is either a type 1 customer with probability p or a type 2 customer with probabil- ity 1 − p. The time it takes to serve a type i customer is exponential with rate μi , i = 1, 2. Find the average amount of time an entering customer spends in the system.

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