Suppose a two-state experiment has the following transition matrix: 0.5 0.5 P : Answer the following questions: 1. If the experiment is in state 1 on the first observation, what is the probability it will be in state 2 on the second observation? .5 2. If the experiment is in state 1 on the first observation, what is the probability it will be in state 2 on the fourth observation? .2 3. If the experiment is in state 2 on the third observation, what is the probability that it will be in state 2 on the seventh observation? 4. If the experiment is in state 1 on the third observation, what is the probability it will be in state 1 on the fourth, fifth, and sixth observation? ...

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 55E
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Suppose a two-state experiment has the following transition matrix:
0.5
0.5
P :
Answer the following questions:
1. If the experiment is in state 1 on the first observation, what is the probability it will be in state 2 on the second
observation?
.5
2. If the experiment is in state 1 on the first observation, what is the probability it will be in state 2 on the fourth
observation?
.2
3. If the experiment is in state 2 on the third observation, what is the probability that it will be in state 2 on the
seventh observation?
4. If the experiment is in state 1 on the third observation, what is the probability it will be in state 1 on the fourth,
fifth, and sixth observation?
...
Transcribed Image Text:Suppose a two-state experiment has the following transition matrix: 0.5 0.5 P : Answer the following questions: 1. If the experiment is in state 1 on the first observation, what is the probability it will be in state 2 on the second observation? .5 2. If the experiment is in state 1 on the first observation, what is the probability it will be in state 2 on the fourth observation? .2 3. If the experiment is in state 2 on the third observation, what is the probability that it will be in state 2 on the seventh observation? 4. If the experiment is in state 1 on the third observation, what is the probability it will be in state 1 on the fourth, fifth, and sixth observation? ...
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