1. Answer the following questions: a. Generate 5 pseudo-random numbers using the Linear Congruential Method with a seed of 10, multiplier of 5, an increment of 21, and a modulus of 50. (11 points) b. Suppose you have made 5 replications of a 10,000 hr. long simulation run and you have recorded the average time in the system in batches of 1,000 hours. You have constructed two confidence intervals for the average time in the system: 1. using the entire 10,000 hours for each replication, 2. deleting the first 3,000 hours of each replication as a warm-up period. The confidence interval in (1) is much smaller than the one in (2). Why is this the case? How would you decide which confidence interval is more suitable for your analysis? Explain clearly. (11 points) c. Suppose you have built an ARENA model to simulate the operation at a gas station that has 3 pumps. Your objective is to reduce the customer waiting time and improve service quality. Classify each of the following actions as validation or verification by checking one of the boxes and write 2 examples of your own project in the space left. (8 points)