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At a train station, there are 7 ticket vending machines. Customers form a single waiting line to buy tickets from one of the machines. It is observed that the interarrival time is exponentially distributed with its mean equal to 1.6 minutes. On average, it takes a customer 7 minutes to buy a ticket, with a standard deviation of the time estimated as 4 minutes. On average, how many customers are waiting in the line?

At a train station, there are 7 ticket vending machines. Customers form a single waiting line to buy tickets from one of the machines. It is observed that the interarrival time is exponentially distributed with its mean equal to 1.6 minutes. On average, it takes a customer 7 minutes to buy a ticket, with a standard deviation of the time estimated as 4 minutes. On average, how many customers are waiting in the line?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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At a train station, there are 7 ticket vending machines. Customers form a single waiting line to buy tickets from one of the machines. It is observed. that the interarrival time is exponentially distributed with its mean equal to 1.6 minutes. On average, it takes a customer 7 minutes to buy a ticket, with a standard deviation of the time estimated as 4 minutes. On average, how many customers are waiting in the line?
Transcribed Image Text:At a train station, there are 7 ticket vending machines. Customers form a single waiting line to buy tickets from one of the machines. It is observed. that the interarrival time is exponentially distributed with its mean equal to 1.6 minutes. On average, it takes a customer 7 minutes to buy a ticket, with a standard deviation of the time estimated as 4 minutes. On average, how many customers are waiting in the line?
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