Task: Trucks are required to pass through a weighing station so that they can be checked for weight violations. Trucks arrive at the station at the rate of 40 an hour between 7:00 p.m. and 9:00 p.m. Currently two inspectors are on duty during those hours, each of whom can inspect 25 trucks an hour.
Question 1: How many trucks would you expect to see at the weighing station, including those being inspected?
Question 2: If a truck was just arriving at the station, about how many minutes could the driver expect to be at the station?
Question 3: What is the probability that both inspectors would be busy at the same time?
Question 4: How many minutes, on average, would a truck that is not immediately inspected have to wait?
Question 5: What condition would exist if there was only one inspector?
Question 6: What is the maximum line length for a probability of .97?