Explain why S is or is not a stationary matrix. Select the correct choice below and, if necessary, fill in the answer box within your choice.
Explain why S is or is not a stationary matrix. Select the correct choice below and, if necessary, fill in the answer box within your choice.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Refer to the regular Markov chain with transition matrix
P=
.
For
0.5 | 0.5 | ||
0.3 | 0.7 |
S=
,
calculate SP. Is S a stationary matrix? Explain.0.3 | 0.5 |
Explain why S is or is not a stationary matrix. Select the correct choice below and, if necessary, fill in the answer box within your choice.
The matrix S is not a stationary matrix because
SP≠S
and the entries of S do not sum to
enter your response here.
The matrix S is a stationary matrix because
SP=S
and the entries of S sum to
enter your response here.
The matrix S is a stationary matrix because the entries of S sum to
enter your response here.
The matrix S is a stationary matrix because
SP=S.
The matrix S is not a stationary matrix only because
SP≠S.
The matrix S is not a stationary matrix only because the entries of S do not sum to
enter your response here.
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