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Bes Klingenberges a Page, New York, move the complex caled Camach of the night auditorum plays a diferent from the schedule aperto avoid wat would rat med te wete. There angle ticket boosher who can mainan service of proper how service times are used to towaroon Aalto day Polandbredde 20 per hout To the one of the current ticket when to carining characterste *Theofmoos Waling me to purchase customers rund your to The that the courant in your rooms word The rooms in the redom There in the new round your own humanos tanto et in the open to decine Beate Klingenberg manages a Poughkeepsie, New York, movie theater complex called Cinema 8. Each of the eight auditoriums plays a different film; the schedule staggers starting times to avoid the large crowds that would occur if all eight movies started at the same time. The theater has a single ticket booth and a cashier who can maintain an average service rate of 300 patrons per hour. Service times are assumed to follow a negative exponential distribution Arrivals on a normally active day are Poisson distributed and average 210 per hour. To determine the efficiency of the current ticket operation, Beate wishes to examine several queue-operating characteristics a) The average number of moviegoers waiting in line to purchase a ticket = 1.63 customers (round your response to two decimal places). b) The percentage of time that the cashier is busy = 70 percent (round your response to the nearest whole number) c) The average time that a customer spends in the system - 0.67 minutes (round your response to two decimal places) d) The average time spent waiting in the line to get to the ticket window = 0.47 minutes (round your response to two decimal places) e) The probability that there are more than two people in the system =(round your response to three decimal places)