​a) The average number of moviegoers waiting in line to purchase a ticket​ = ___ customers ​(round your response to two decimal​ places).

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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​ = ___ customers ​(round your response to two decimal​ places).

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