At a train station, there are 7 ticket vending machines. Customers 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 2.0 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, what is the total number of customers at the ticket vending site (including those waiting in the line and those buying tickets)? Note: Round your answer to two decimal places.
At a train station, there are 7 ticket vending machines. Customers 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 2.0 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, what is the total number of customers at the ticket vending site (including those waiting in the line and those buying tickets)? Note: Round your answer to two decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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 2.0 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, what is the total number of customers at the ticket vending site
(including those waiting in the line and those buying tickets)?
Note: Round your answer to two decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55d0b52d-ae4e-42e3-bb60-13757393e3c5%2F5927f847-7bba-448a-b5e9-6cdca9dc7230%2F9ee7ii_processed.jpeg&w=3840&q=75)
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 2.0 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, what is the total number of customers at the ticket vending site
(including those waiting in the line and those buying tickets)?
Note: Round your answer to two decimal places.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman