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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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