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 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. P =   0.5  0.5 0.25 0.75 (2) If the animal is twice as likely to be in the meadows as in the woods, find the state vector X that represents this information?  X = [       ,       ]?    Using the state vector determined in the preceding part as the initial state vector, find the probabili

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 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.

P =  

0.5  0.5
0.25 0.75

(2) If the animal is twice as likely to be in the meadows as in the woods, find the state vector X that represents this information? 

X = [       ,       ]? 
 
Using the state vector determined in the preceding part as the initial state vector, find the probability that the animal is in the meadow on the third observation after the initial one
 
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