What is the number of customers waiting in the queue on average?

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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United Raiders Drive-In Market has one checkout counter where one employee operates the cash register. The combination of the cash resister and the operator is the server in this queuing system; the
customers who line up at the counter to pay their selections form the waiting line. Customers arrive at a rate of 12 per hour according to a Poisson distribution, and service times are on average equal to 4 minutes
per customer.
What is the number of customers waiting in the queue on average?
O a. 2.6
O b.2.0
Oc. 3.8
O d. 1.4
O e. 3.2
Transcribed Image Text:United Raiders Drive-In Market has one checkout counter where one employee operates the cash register. The combination of the cash resister and the operator is the server in this queuing system; the customers who line up at the counter to pay their selections form the waiting line. Customers arrive at a rate of 12 per hour according to a Poisson distribution, and service times are on average equal to 4 minutes per customer. What is the number of customers waiting in the queue on average? O a. 2.6 O b.2.0 Oc. 3.8 O d. 1.4 O e. 3.2
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