Each of the eight auditoriums plays different film

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Beate Klingenberg managers 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 an exponential distribution. Arrivals on a normally active day are Poisson distribution and average 180 per hour.

1) Find the probability that there are more than three people in the system=_____ (round your response to three decimal places)

2) Find the probability that there are more than four people in the system=_____ (round your response to three decimal places)

Reference no: EM132255417

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