Determine whether the statement below is true or false. Justify the answer. If (x) is a Markov chain, then X₁+1 must depend only on the transition matrix and xn- Choose the correct answer below. O A. The statement is false because x, depends on X₁+1 and the transition matrix. B. The statement is true because it is part of the definition of a Markov chain. C. The statement is false because X₁ +1 can also depend on X-1 D. The statement is false because X₁ + 1 can also depend on any previous entry in the chain.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine whether the statement below is true or false. Justify the answer.
If (x) is a Markov chain, then X₁+1 must depend only on the transition matrix and xn-
Choose the correct answer below.
O A. The statement is false because x, depends on X₁+1 and the transition matrix.
B. The statement is true because it is part of the definition of a Markov chain.
C. The statement is false because X₁ +1 can also depend on X-1
D. The statement is false because X₁ + 1 can also depend on any previous entry in the chain.
Transcribed Image Text:Determine whether the statement below is true or false. Justify the answer. If (x) is a Markov chain, then X₁+1 must depend only on the transition matrix and xn- Choose the correct answer below. O A. The statement is false because x, depends on X₁+1 and the transition matrix. B. The statement is true because it is part of the definition of a Markov chain. C. The statement is false because X₁ +1 can also depend on X-1 D. The statement is false because X₁ + 1 can also depend on any previous entry in the chain.
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