Question: 4. (15 pts) Consider a simple system with a single arrival stream and a single server. The following is data recorded for 10 minutes, where

 4. (15 pts) Consider a simple system with a single arrival

4. (15 pts) Consider a simple system with a single arrival stream and a single server. The following is data recorded for 10 minutes, where n(t) is the number of people in the system at time t. 3 t (min) 5 6 17 8 9 10 3.9 5.6 6.66.8 8.4 9.3 Based on the data, please determine the following a) (5 pts) The total time in the system for the third customer. 5.6 min . TM, b) (5 pts) The average waiting time in the queue (provide the detailed intermediate steps). Ave waiting time in the quen= 2Q: N 2.2 + 1.7 + 14. 2 + 1.6 +-a - 9 :.86 / Mintues c) (5 pts) The average number of people in the system (provide the detailed intermediate steps). The total area

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