A post office is run by two clerks. When Smith enters the system, he finds that Jones is being served by one of the clerks, and brown is being served by the other. Also suppose that Smith is told that his service will begin as soon as either Jones or Brown leaves. (a) If the amount of time that a clerk spends with a customer is Exp(2), what's the probability that, of the three customers, Smith is the last to leave? (b) What if server i's times are Exp(2), i = 1; 2?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
A post office is run by two clerks. When Smith enters the system, he finds that Jones is being served by one of the clerks, and brown is being served by the other. Also
suppose that Smith is told that his service will begin as soon as either Jones or Brown leaves.
(a) If the amount of time that a clerk spends with a customer is Exp(2), what's the probability that, of the three customers, Smith is the last to leave?
(b) What if server i's times are Exp(li), i = 1; 2?
Transcribed Image Text:A post office is run by two clerks. When Smith enters the system, he finds that Jones is being served by one of the clerks, and brown is being served by the other. Also suppose that Smith is told that his service will begin as soon as either Jones or Brown leaves. (a) If the amount of time that a clerk spends with a customer is Exp(2), what's the probability that, of the three customers, Smith is the last to leave? (b) What if server i's times are Exp(li), i = 1; 2?
Expert Solution
steps

Step by step

Solved in 4 steps with 10 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman