in the meadows and that state 2 is being in the woods. for this Markov process. P = ds on the first observation, what is the probability that it is in the woods on fourth obser decimal fraction rounded to 4 decimal places.)
in the meadows and that state 2 is being in the woods. for this Markov process. P = ds on the first observation, what is the probability that it is in the woods on fourth obser decimal fraction rounded to 4 decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Please show solutions and explain steps
![**Markov Process Transition Matrix**
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:**
\[
P = \begin{bmatrix}
\boxed{} & \boxed{} \\
\boxed{} & \boxed{}
\end{bmatrix}
\]
2. **If the animal is in the woods on the first observation, what is the probability that it is in the woods on the fourth observation?** (Express your answer either as a rational fraction or as a decimal fraction rounded to four decimal places.)
\[
\boxed{}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36a79c17-bf73-44c3-9503-d2f30f855206%2Faf462f4f-afd2-480e-bc00-5747188e2836%2F5hco0la_processed.png&w=3840&q=75)
Transcribed Image Text:**Markov Process Transition Matrix**
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:**
\[
P = \begin{bmatrix}
\boxed{} & \boxed{} \\
\boxed{} & \boxed{}
\end{bmatrix}
\]
2. **If the animal is in the woods on the first observation, what is the probability that it is in the woods on the fourth observation?** (Express your answer either as a rational fraction or as a decimal fraction rounded to four decimal places.)
\[
\boxed{}
\]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON