A major long-distance telephone company (company A) has studied the tendency of telephone users to switch from one carrier to another. The company believes that over successive six-month periods, the probability that a customer who uses A's service will switch to a competing service is 0.2 and the probability that a customer of any competing service will switch to A is 0.3. (a) Find a transition matrix for this situation. (b) If A presently controls 60% of the market, what percentage can it expect to control six months from now? (c) What percentage of the market can A expect to control in the long run? (a) Find a transition matrix for this situation. Let "Comp" stand for "a competing service." A Comp A Comp (Type integers or decimals.) (b) If A presently controls 60% of the market, what percentage can it expect to control six months from now? Company A can expect to control% of the market six months from now. (c) What percentage of the market can A expect to control in the long run? Company A can expect to control% of the market in the long run.
A major long-distance telephone company (company A) has studied the tendency of telephone users to switch from one carrier to another. The company believes that over successive six-month periods, the probability that a customer who uses A's service will switch to a competing service is 0.2 and the probability that a customer of any competing service will switch to A is 0.3. (a) Find a transition matrix for this situation. (b) If A presently controls 60% of the market, what percentage can it expect to control six months from now? (c) What percentage of the market can A expect to control in the long run? (a) Find a transition matrix for this situation. Let "Comp" stand for "a competing service." A Comp A Comp (Type integers or decimals.) (b) If A presently controls 60% of the market, what percentage can it expect to control six months from now? Company A can expect to control% of the market six months from now. (c) What percentage of the market can A expect to control in the long run? Company A can expect to control% of the market in the long run.
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
100%

Transcribed Image Text:A major long-distance telephone company (company A) has studied the tendency of telephone users to switch from one carrier to another. The company believes
that over successive six-month periods, the probability that a customer who uses A's service will switch to a competing service is 0.2 and the probability that a
customer of any competing service will switch to A is 0.3.
(a) Find a transition matrix for this situation.
(b) If A presently controls 60% of the market, what percentage can it expect to control six months from now?
(c) What percentage of the market can A expect to control in the long run?
(a) Find a transition matrix for this situation. Let "Comp" stand for "a competing service."
A Comp
A
Comp
(Type integers or decimals.)
(b) If A presently controls 60% of the market, what percentage can it expect to control six months from now?
Company A can expect to control % of the market six months from now.
(c) What percentage of the market can A expect to control in the long run?
Company A can expect to control % of the market in the long run.
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

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman