k) In a supermarket average arrival rate of customers is 12 per hour following a Poisson law. The average time it takes to list and calculate customers purchase at the cash desk is 4 minute and this is exponentially distributed. What is the probability that the cashier is working? How long will the customer expect to wait at the cash desk?
k) In a supermarket average arrival rate of customers is 12 per hour following a Poisson law. The average time it takes to list and calculate customers purchase at the cash desk is 4 minute and this is exponentially distributed. What is the probability that the cashier is working? How long will the customer expect to wait at the cash desk?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 85CR
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Transcribed Image Text:k) In a supermarket average arrival rate of customers is 12 per hour following a
Poisson law. The average time it takes to list and calculate customers purchase at
the cash desk is 4 minute and this is exponentially distributed. What is the
probability that the cashier is working? How long will the customer expect to wait at
the cash desk?
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