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.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 12EQ: 12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...

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