Question: Consider a one - pump gas station that satisfies the assumptions for the M / M / 1 model. It is estimated that, on average,

Consider a one-pump gas station that satisfies the assumptions for the M/M/1 model. It is estimated that, on average, customers arrive to buy gas when their tanks are one-eighth full. The mean time to service a customer is 4 minutes, and the arrival rate is six customers per hour.
Determine the expected length of the queue and the expected time in the system.

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