Only need answer for problem 2

Assume that we simulate an airline check-in system, which includes one clerk and two check-in lines, one for business class and one for economy class. A business customer enters the business queue, and an economy customer enters the economy queue. Within each queue, customers are served in the first-infirstout (FIFO) order, but the economy queue is served only when the business queue is empty. Assume that the processing time for each customer is 3 minutes, no matter they are a business or economy customer. We assume that the check-in service is atomic, i.e., when the cleck is checking in a customer, the clerk must finish this service before serving a new customer. Note that you can simulate the customer arrivals by tossing a weighted coin and the probability of "Heads" is p(p=0.6). Assume that a business customer is represented by the outcome "Heads" and an economy customer by the outcome "Tails". The distribution of random time between arrivals is specified as in the following table (For example, if at the 10-th minute, an economy customer arrives (Tails), then the next customer (either from a business customer or from an economy customer) should arrive at the 12-th minute.): Construct a simulation table (similar to the examples shown in class) for up to 10 customers. Assume the sequence for the first 10 customers is: HTTTTHHTTT. Create the event list in the chronological order of events in a table format. Include event number, customer number, customer type, whether the event is an arrival or a departure from the check-in system, simulation clock when that event is to be processed. Start with simulation clock at t=0(i.e., at t=0, the first customer arrives). Assume that system starts empty. For Problem 1 above, compute the following from your simulation table: (1) Average service time for all customers Ans: ... (2) Average inter-arrival time Ans: ... (3) Average time business customers spend in the system and the average time economy customers spend in the system Ans: ... (4) Treating the clerk as a server, what is the server utilization in the above simulation run? Ans