Determine whether the Markov chain with matrix of transition probabilities P is absorbing. Explain. 0.8 0.6 0 0.2 0.1 0 0 0.3 1 P-[8 Yes, the third state S3 is absorbing, and it is possible to move from any of the states to S3. No, though the second state S₂ is absorbing, it is not possible to move from all of the states to S₂. No, though the third state S3 is absorbing, it is not possible to move from all of the states to S3. Yes, the first state S₁ is absorbing, and it is possible to move from any of the states to S₁. O Yes, the second state S₂ is absorbing, and it is possible to move from any of the states to S₂.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 49E: Consider the Markov chain whose matrix of transition probabilities P is given in Example 7b. Show...
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Determine whether the Markov chain with matrix of transition probabilities P is absorbing. Explain.
0.8 0.6 0
0.2 0.1 0
0 0.3 1
P =
Yes, the third state S3 is absorbing, and it is possible to move from any of the states to S3.
No, though the second state S₂ is absorbing, it is not possible to move from all of the states to S₂.
No, though the third state S3 is absorbing, it is not possible to move from all of the states to S3.
Yes, the first state S₁ is absorbing, and it is possible to move from any of the states to S₁.
Yes, the second state S₂ is absorbing, and it is possible to move from any of the states to S₂.
Transcribed Image Text:Determine whether the Markov chain with matrix of transition probabilities P is absorbing. Explain. 0.8 0.6 0 0.2 0.1 0 0 0.3 1 P = Yes, the third state S3 is absorbing, and it is possible to move from any of the states to S3. No, though the second state S₂ is absorbing, it is not possible to move from all of the states to S₂. No, though the third state S3 is absorbing, it is not possible to move from all of the states to S3. Yes, the first state S₁ is absorbing, and it is possible to move from any of the states to S₁. Yes, the second state S₂ is absorbing, and it is possible to move from any of the states to S₂.
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