Mr. Little runs a local no-brand “fast food” restaurant near a small university in the mid-west. He is interested in knowing how long, on average, his customers wait in line. He does not wish to spend all day recording wait times to figure out averages. He does know, however, that his customers arrive at an average rate of 30 per hour, and on average, there are 3 customers in line. He does not know the probability distributions of his arrivals or service times. If we assume steady state, can we help Mr. Little in telling him what his average wait times are for his customer?
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