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
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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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Refer to the regular Markov chain with transition matrix
P=
  0.5 0.5  
0.3 0.7
.
For
S=
  0.3 0.5  
​,
calculate SP. Is S a stationary​ matrix? Explain.
 
 
 
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.
The matrix S is not a stationary matrix because
SP≠S
and the entries of S do not sum to
enter your response here.
 
B.
The matrix S is a stationary matrix because
SP=S
and the entries of S sum to
enter your response here.
 
C.
The matrix S is a stationary matrix because the entries of S sum to
enter your response here.
 
D.
The matrix S is a stationary matrix because
SP=S.
 
E.
The matrix S is not a stationary matrix only because
SP≠S.
 
F.
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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