2. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random. Assume that Poisson probability distribution with an arrival rate of 24 customers per hour or 0.4 customer per minute can be used to describe the arrival pattern. Assume further that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customer per minute. Use the single-channel drive-up bank teller operation to determine the following operating characteristics for the system:
2. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random. Assume that Poisson probability distribution with an arrival rate of 24 customers per hour or 0.4 customer per minute can be used to describe the arrival pattern. Assume further that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customer per minute. Use the single-channel drive-up bank teller operation to determine the following operating characteristics for the system:
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Show your complete solution.
![2. Willow Brook National Bank operates a drive-up teller window that allows
customers to complete bank transactions without getting out of their cars. On
weekday mornings, arrivals to the drive-up teller window occur at random. Assume
that Poisson probability distribution with an arrival rate of 24 customers per hour or 0.4
customer per minute can be used to describe the arrival pattern. Assume further that
the service times for the drive-up teller follow an exponential probability distribution
with a service rate of 36 customers per hour, or 0.6 customer per minute. Use the
single-channel drive-up bank teller operation to determine the following operating
characteristics for the system:
a. The probability that no customers are in the system
b. The average number of customers waiting
c. The average number of customers in the system](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86ac313c-5662-4515-aaa0-0e6c564ec720%2F9462c84a-4595-48fb-8c6a-eb5665429c89%2F7anb392_processed.png&w=3840&q=75)
Transcribed Image Text:2. Willow Brook National Bank operates a drive-up teller window that allows
customers to complete bank transactions without getting out of their cars. On
weekday mornings, arrivals to the drive-up teller window occur at random. Assume
that Poisson probability distribution with an arrival rate of 24 customers per hour or 0.4
customer per minute can be used to describe the arrival pattern. Assume further that
the service times for the drive-up teller follow an exponential probability distribution
with a service rate of 36 customers per hour, or 0.6 customer per minute. Use the
single-channel drive-up bank teller operation to determine the following operating
characteristics for the system:
a. The probability that no customers are in the system
b. The average number of customers waiting
c. The average number of customers in the system
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)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)