Question: Consider the following single server queue: The customers arrive at the service station at the rate of 6 per hour and the service time is

Consider the following single server queue: The customers arrive at the service station at the rate of 6 per hour and the service time is also exponentially distributed with a mean of 8 minutes. (Note: Only decimal numbers are recognized: Do not include units and work out with hours ,rounding off your answers to 4 decimal places.) Find the (i) Mean number of customers in the system. (ii) Mean number in the queue. (iii) Mean waiting time in the queue of arrival.(iv)Waiting time an arrival spends in the system. (v) Proportion of time the server is idle.

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