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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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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?
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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