A barber shop has two barbers. The customers arrive at a rate of 5 per hour in a Poisson fashion, and the serVice time of each barber takes an average of 15 minutes according to exponential

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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6.
(a)
A barber shop has two barbers. The customers
arrive at a rate of 5 per hour in a Poisson fashion,
and the serVice time of each barber takes an
average of 15 minutes according to exponential
distribution. The shop has 4 chairs for waiting
customers. When a customer arrives in the shop
and does not find an empty chair, she leaves the
shop. What is the expected number of customers
in the shop ? What is the probability that a
customer will leave the shop finding no empty
chair to wait ?
Transcribed Image Text:6. (a) A barber shop has two barbers. The customers arrive at a rate of 5 per hour in a Poisson fashion, and the serVice time of each barber takes an average of 15 minutes according to exponential distribution. The shop has 4 chairs for waiting customers. When a customer arrives in the shop and does not find an empty chair, she leaves the shop. What is the expected number of customers in the shop ? What is the probability that a customer will leave the shop finding no empty chair to wait ?
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