At a ride in an amusement park, customers form a line to wait for their turn to get a ride. Only one customer is allowed in the ride at the same time. On average, a customer spends 4 minutes in the ride, with a standard deviation of the time estimated 2 minutes. It is observed that customers arrive according to a Poisson process with an arrival rate of 12 customers per hour. On average, how long does a customer need to wait (in minutes) before they can enter the ride?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.4: Important Queueing Relationships
Problem 6P
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At a ride in an amusement park, customers form a line to wait for their turn to get a ride.
Only one customer is allowed in the ride at the same time. On average, a customer spends
4 minutes in the ride, with a standard deviation of the time estimated 2 minutes. It is
observed that customers arrive according to a Poisson process with an arrival rate of 12
customers per hour.
On average, how long does a customer need to wait (in minutes) before they can enter the
ride?
Note: Round your answer to two decimal places.
Transcribed Image Text:At a ride in an amusement park, customers form a line to wait for their turn to get a ride. Only one customer is allowed in the ride at the same time. On average, a customer spends 4 minutes in the ride, with a standard deviation of the time estimated 2 minutes. It is observed that customers arrive according to a Poisson process with an arrival rate of 12 customers per hour. On average, how long does a customer need to wait (in minutes) before they can enter the ride? Note: Round your answer to two decimal places.
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