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 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 three 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 (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?
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 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 three 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 (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?
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...
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Transcribed Image Text: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 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 three 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.
(2) If the animal is initially in the woods, what is the
probability that it is in the woods on the next three
observations?
(3) If the animal is initially in the woods, what is the
probability that it is in the meadow on the next
three observations?
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