The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the following transition probabilities. From Special B Special B MDA 0.90 0.10 0.02 0.98 (a) which brand appears to have the most loyal customers? Explain. MDA ✔✔✔has the most loyal customers because 98 MDA To ✔% stay with them and only 2 (b) What are the projected market shares for the two brands? (Enter exact numbers as integers, fractions, or decimals.) Special B ₁1/5 MDA ₂1/5 Need Help? Read It x x % switch to the other brand, as opposed to Special B✔✔✔ where only 90 ✔% stay with them and 10 ✔% switch.

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
The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the following transition probabilities.
From
Special B
MDA
Need Help?
Special B
0.90
=
π 1 1/5
π2
1/5
Read It
To
0.02
MDA
(a) Which brand appears to have the most loyal customers? Explain.
MDA
✔✔✔has the most loyal customers because 98
0.10
% stay with them and only 2
(b) What are the projected market shares for the two brands? (Enter exact numbers as integers, fractions, or decimals.)
Special B
MDA
0.98
X
x
% switch to the other brand, as opposed to Special B✔✔✔ where only 90
✓
% stay with them and 10
✓
% switch.
Transcribed Image Text:The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the following transition probabilities. From Special B MDA Need Help? Special B 0.90 = π 1 1/5 π2 1/5 Read It To 0.02 MDA (a) Which brand appears to have the most loyal customers? Explain. MDA ✔✔✔has the most loyal customers because 98 0.10 % stay with them and only 2 (b) What are the projected market shares for the two brands? (Enter exact numbers as integers, fractions, or decimals.) Special B MDA 0.98 X x % switch to the other brand, as opposed to Special B✔✔✔ where only 90 ✓ % stay with them and 10 ✓ % switch.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

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