If the animal is in the woods on one observation, then it is three times 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 Р- 1/4 3/4 (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? 859/1600 (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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(1 point) Redo exercises 17 and 18 in section 8.1 of your textbook, about the
small animal who lives in an area with woods and meadows, using the following
data:
If the animal is in the woods on one observation, then it is three times 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.
1/5
4/5
P =
1/4
3/4
(2) If the animal is initially in the woods, what is the probability that it is in the
woods on the next three observations?
859/1600
(3) If the animal is initially in the woods, what is the probability that it is in the
meadow on the next three observations?
741/1600
Transcribed Image Text:(1 point) Redo exercises 17 and 18 in section 8.1 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data: If the animal is in the woods on one observation, then it is three times 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. 1/5 4/5 P = 1/4 3/4 (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? 859/1600 (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations? 741/1600
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