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In a service system, groups of customers arrive and get served individually by a single server. The customer groups arrive in a Poisson process with

In a service system, groups of customers arrive and get served individually by a single server. The customer groups arrive in a Poisson process with rate 5 per hour and the group size has a distribution with mean 2.5 and variance 2. The service times are exponential with mean 4 minutes. Determine the expected number of customers in the system in the long run.

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