Dennis took a summer job working in an amusement park when he was a MBA student. He was assigned to the SpaceX ride. Each time passengers got on; he had to go around and make sure each passenger was strapped in. The ride lasts 2 minutes exactly. The time to check passengers plus the ride took 6.5 min on average with a standard deviation of 1.5 min. The ride holds a single group of 4 and groups of customers arrive at the SpaceX ride at a rate of 8 groups per hour. Groups arrive exponentially.

1. Assume that Mary joins Dennis and they work together as a team to check the passengers. Doing so decreases the time to check the passengers significantly. New time measurements indicated that the time to check passengers plus the ride takes 5.5 min on average exponentially distributed.

Fill in the table below (dont forget the units).

Type of Queueing System
Average inter-arrival time
Average service time
Utilization
S
Ca
CS
Lq
LS
WS
Wq