Consider a bank with two tellers. Service times by each teller are exponentially distributed with mean of 1 hour per customer. Customers also arrive with an exponential interarrival times with mean of 1 hour. Suppose a customer has just arrived at 2pm: a. What is the probability that the next customer will arrive between 3:00 pm and 4:00 pm? b. If no customer arrives before 4:00 pm, what is the probability that the next customer will arrive between 4:00 pm and 5:00 pm? c. What is the probability that the number of arrivals between 2:00 pm and 4:00 pm will be more than one?
Consider a bank with two tellers. Service times by each teller are exponentially distributed with mean of 1 hour per customer. Customers also arrive with an exponential interarrival times with mean of 1 hour. Suppose a customer has just arrived at 2pm: a. What is the probability that the next customer will arrive between 3:00 pm and 4:00 pm? b. If no customer arrives before 4:00 pm, what is the probability that the next customer will arrive between 4:00 pm and 5:00 pm? c. What is the probability that the number of arrivals between 2:00 pm and 4:00 pm will be more than one?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
Consider a bank with two tellers. Service times by each teller are exponentially distributed with
mean of 1 hour per customer. Customers also arrive with an exponential interarrival times with
mean of 1 hour. Suppose a customer has just arrived at 2pm:
a. What is the probability that the next customer will arrive between 3:00 pm and 4:00 pm?
b. If no customer arrives before 4:00 pm, what is the probability that the next customer will
arrive between 4:00 pm and 5:00 pm?
c. What is the probability that the number of arrivals between 2:00 pm and 4:00 pm will be more
than one?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.