In that setting, the line queue is 30 people long, on average. Sometimes more, sometimes less. Because 5.8 people arrive an hour out of the maximum of 6 that ca

In that setting, the line queue is 30 people long, on average. Sometimes more, sometimes less. Because 5.8 people arrive an hour out of the maximum of 6 that can be served an hour, and 6/(6-5.8)=30, the average queue length is 30.