Suppose a two-state experiment has the following transition matrix: [0.5 P = 0.5] 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?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 31E
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Can someone please help me with this question. I am having so much trouble.

Suppose a two-state experiment has the following transition matrix:
0.5 0.5
P =
1
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?
2. If the experiment
in state 1 on the first observation, what is the probability it will be in
state 2 on the fourth observation?
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 = 1 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? 2. If the experiment in state 1 on the first observation, what is the probability it will be in state 2 on the fourth observation? 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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