odel, the 45. The Grand Movie Theater has one box office clerk. On average,each customer that comes to av see a movie can be sold its ticket at the rate of 6 per minute. For the theater's normal offerings of older movies, customers arrive at the rate of 3 per minute. Assume arrivals follow the Poisson distribution and service times follow the exponential distribution. cing orders a. What is the average number of customers waiting in line? b. What is the average time a customer spends in the waiting line? c. What is the average number of customers in the system? d. What is a customer's average time in the system? e. What is the probability that someone will be bu ying tickets when an arrval curs The Grand has booked the Stars Wars Thilogy and expects more cussomens Prom conversations with other theater owners, it estimates that the arrival rate will increase to 10 per minute. Output is supplied for a two-cashier and a three-cashier system t size decrease Number of Channels Arrival Rate Service Rate able, order an am robability of No Units in System0909 Average Waiting Time Average Time in System Average Number Waitin Average Number in System Probability of Waitin Probability of 11 in System 0375 3788 5455 0414 5.4545 7576 ulti-period model, f. The Grand has space for ten customers to wait indoors to buy icets. Wahich gyatem will be better? Do you think it is more sensible for them to continue the one-cashier system increases. g