Duque Vergere manages a Do or Die Theater complexcalled Cinema I, II, III, and IV. Each of the four auditoriumsplays a different film; the schedule staggers starting times toavoid the large crowds that would occur if all four movies startedat the same time. The theater has a single ticket booth and acashier who can maintain an average service rate of 280 patrons perhour. Service times are assumed to follow an exponentialdistribution. Arrivals on a normally active day are Poissondistributed and average 210 per hour. To determine the efficiencyof the current ticket operation, Duque Vergere wishes to examineseveral queue-operating characteristics.
e.) What is the probability that there are more than two people inthe system? More than three people? More than four?
