1. [15 pts) Consider a simple system with a single arrival stream and a single server. The following are data recorded for 10 minutes, where nit) is the number of people in the system at time t. 2 (min) 91 10 3.9 5.6 6.66.8 8.4 9.3 Based on the data, please determine the following: a) (3 pts) The total time spent in the system for the third customer. bj (3 pts) The average waiting time in the queue (including those who are still waiting in the queue at t=10). Please provide detailed intermediate steps. c) (3 pts) The average waiting time in the queue for those who have completed the service and left the system. Please provide detailed intermediate steps. dj (4 pts) The average number of people in the system (provide detailed intermediate steps). e) (12 pts) Model the above system with ARENA. Use the READWRITE module discussed in Chapter 10 to read the data above. Compare the result from your model with the measures calculated in bj and c). (hint: as the first step, you need to construct a data file based on the above plat which will be used as an input to the READWRITE module}