It will take exactly four seconds to verify the debit card. ): In how much time would you expect the customer to wait in line, pay with th ave? ): How many cars would you expect to see in the system?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question
A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially,
only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per
hour. It will take exactly four seconds to verify the debit card.
Part (a): In how much time would you expect the customer to wait in line, pay with the debit card,
and leave?
Part (b): How many cars would you expect to see in the system?
Transcribed Image Text:A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per hour. It will take exactly four seconds to verify the debit card. Part (a): In how much time would you expect the customer to wait in line, pay with the debit card, and leave? Part (b): How many cars would you expect to see in the system?
Expert Solution
Step 1

Given

Number of lanes used initially=1

Arrival rate=750 per hour

Service rate =1 car in 4 second

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