The person staffing the ticket booth at an aquarium is able to distribute tickets and brochures to 325 patrons every hour. On a typical day, and average of 278 people arrive every hour top gain entrance to the aquarium. The aquarium's manager wants to make the arrival process as convenient as possible for the patrons and so wishes to examine several queue operating characteristics.
a) What type of system is this?
b) What is the average number of patrons waiting in line to purchase tickets? (Enter two decimal places)
c) What percentage of time is the ticket window busy? (Enter three decimal places)
d) What is the average time (in minutes) that a visitor to the aquarium spends in the ticketing system? (Enter two decimal places)
e) What is the average time spent waiting in line (in minutes) to get to the ticket window? (Enter two decimal places)
f) What is the probability there are more than two or more people waiting in line to get a ticket? (Enter three decimal places)