The roller coaster at Treasure Island Amusement Park consists of 15 cars, each of which can carry three passengers. Each run takes 1.5 minutes and the time to load and unload passengers takes 3.5 minutes.
(a) What is the maximum capacity of the system in number of passengers per hour?
(b) The system manager would like to determine how much time people are spending waiting for a ride. There are 150 people waiting in the queue on average. If the arrival rate to the roller coaster is 400/hr, what is the average time a person spends in the queue?
(c) What is the expected number of customers waiting for or riding the roller coaster?