Refer to problem D.1. The service time for each car arriving at this toll booth is between 1 and 5 minutes. The probability distribution of service times is given in the following table. Using the same data for interarrival times given in problem D.1., simulate the arrival and service times of 15 cars, assuming that the first car arrives at time 0:

1. Compute for each car the average waiting time in queue, the average service time, and the average total time in the toll booth system.

2. What is the probability that a car waits in the queue?

Data from problem D.1

The interarrival time of cars at a toll booth on an interstate expressway is defined by the following probability distribution:

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Service Time (in minutes) 4 Probability 0.20 0.40 0.20 0.15 0.05 2. 20 Interarrival Time (in minutes) Probability 3 0.25 0.35 0.30 0.10