Concept explainers
a.
To find: the probability that a customer is served in the first 3 minutes.
a.
Answer to Problem 39RE
Explanation of Solution
Given information: The length of time spent waiting in line at a certain bank is
modeled by an exponential density function with mean 8 minutes.
Calculation:
The probability density function is:
b.
To find: the probability that a customer has to wait more than 10 minutes.
b.
Answer to Problem 39RE
Explanation of Solution
Given information:The length of time spent waiting in line at a certain bank is
modeled by an exponential density function with mean 8 minutes.
Calculation:
The probability density function is:
c.
To find: the median waiting time.
c.
Answer to Problem 39RE
The median waiting time is 5.55.
Explanation of Solution
Given information:The length of time spent waiting in line at a certain bank is
modeled by an exponential density function with mean 8 minutes.
Calculation:
The probability density function is:
The median of a probability function is a number m such that:
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning