POIS proc per Calculate the probabilities of: a) no customers in 20 minutes; b) exactly one customer in 5 minutes; c) exactly 12 customers in a hour; d) fewer than three customers in 10 minutes.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 18P
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Suppose that arrivals to a hairdresser follow a Poisson process with mean 12 customers per hour.
Calculate the probabilities of:
a) no customers in 20 minutes;
b) exactly one customer in 5 minutes;
c) exactly 12 customers in a hour;
d) fewer than three customers in 10 minutes.
Transcribed Image Text:Suppose that arrivals to a hairdresser follow a Poisson process with mean 12 customers per hour. Calculate the probabilities of: a) no customers in 20 minutes; b) exactly one customer in 5 minutes; c) exactly 12 customers in a hour; d) fewer than three customers in 10 minutes.
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