If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is four times as likely to be in the meadows as the woods on the next observation. Assume that state 1 is being in the meadows and that state 2 is being in the woods. (1) Find the transition matrix for this Markov process. 4/5 1/5 P = 1/3 2/3 (2) If the animal is in the woods on the first observation, what is the probability that it is in the woods on fourth observation? (Express your answer either as a rational fraction or as a decimal fraction rounded to 4 decimal places.)
If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is four times as likely to be in the meadows as the woods on the next observation. Assume that state 1 is being in the meadows and that state 2 is being in the woods. (1) Find the transition matrix for this Markov process. 4/5 1/5 P = 1/3 2/3 (2) If the animal is in the woods on the first observation, what is the probability that it is in the woods on fourth observation? (Express your answer either as a rational fraction or as a decimal fraction rounded to 4 decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in
the meadows on one observation, then it is four times as likely to be in the meadows as the woods on the next observation.
Assume that state 1 is being in the meadows and that state 2 is being in the woods.
(1) Find the transition matrix for this Markov process.
4/5
1/5
P =
1/3
2/3
(2) If the animal is in the woods on the first observation, what is the probability that it is in the woods on fourth observation? (Express your answer either
as a rational fraction or as a decimal fraction rounded to 4 decimal places.)
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