Find the probability an arbitrary arriving customer

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Question: Consider a service system with two parallel servers and exponential service time averaging 20 minutes. The arrival process is Poisson with rate 5 per hour. When service is available without waiting, all arrivals enter the system. When both servers are busy but no one is waiting one-half of arriving customers enter the system (the others balk and go elsewhere). When there is at least one customer waiting all arriving customers balk. Find the probability an arbitrary arriving customer will enter the system instead of balking.

Reference no: EM133337248

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