Question: Compute the average number in the queue and the average number in the system without using a software package, showing all of the work, and

Compute the average number in the queue and the average number in the system without using a software package, showing all of the work, and given the following following information

1. The queue is a single server system.

2. The rate of service is 30 per hour.

3. The interval-arrival time is exponentially distributed with a mean of 4 minutes.

4. The variance of the service time is 20 minutes squared.

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