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2. The local sneaker store has a service counter with one server and one queue. Assume customer arrival times are governed by the stepped

2. The local sneaker store has a service counter with one server and one queue. Assume customer arrival times are governed by the stepped distribution: 4 5 Interarrival time (mins) 0-0.50 0.50-1.2 1.2-2.25 2.25-3.50 3.50-5.00 6 7 5.00-6.75 6.75-7.50 7.50-9.25 9.25-12.11 Probability 0.06 0.09 Customer service times are governed by the discrete distribution: Service time (mins) 1 2 3 0.14 0.21 0.10 0.09 0.11 0.14 0.06 Probability 0.05 0.10 0.12 0.18 0.25 0.20 0.10 Implement this as a Monte Carlo simulation in Excel and simulate a sufficient amount to calculate expected interarrival and service times, expected wait times and length of the queue and system. Is the system stable or unstable?

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