An automatic car wash facility, which usually works 8hr/ day. The arrival and service time (in a minute) of cars were recorded and monitored for three hours and can be expressed as shown in the following table. Calculate the following quantities and create the associated plots (please show a sample of your hand simulation, and you may include your Excel sheet complete solution): a) The average time in the system b) The average time in the queue c) The time-average number of cars in the system d) The time-average number of vehicles in the queue e) The system utilization f) The percentage where the queue is empty