Question: Consider the following single-server queue: the inter-arrival time is a Poisson distribution with a mean of 10 minutes and the service time is exponentially distributed

Consider the following single-server queue: the inter-arrival time is a Poisson distribution with a mean of 10 minutes and the service time is exponentially distributed with a mean of 8 minutes,

Questions to Answer:

mean wait in the queue,
mean number in the queue,
the mean wait in the system,
mean number in the system and
the proportion of time the server is idle.

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