Suppose a two state experiment has the following transition matrix: 0.8 0.2 P = 0.6 0.4 Answer the following questions: 1. Find P(2). ... ... 2. If the experiment is in state 1 on the first observation, what is the probability that it will be in state 2 on the third observation? 3. If the experiment is in state 1 on the first observation, what is the probability it is in state 2 on the next two observations?

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:
0.2]
0.4
0.8
P =
0.6
Answer the following questions:
1. Find P(2).
...
...
...
...
...
2. If the experiment is in state 1 on the
first observation, what is the
probability that it will be in state 2 on
the third observation?
...
...
3. If the experiment is in state 1 on the
first observation, what is the
probability it is in state 2 on the next
two observations?
...
Transcribed Image Text:Suppose a two state experiment has the following transition matrix: 0.2] 0.4 0.8 P = 0.6 Answer the following questions: 1. Find P(2). ... ... ... ... ... 2. If the experiment is in state 1 on the first observation, what is the probability that it will be in state 2 on the third observation? ... ... 3. If the experiment is in state 1 on the first observation, what is the probability it is in state 2 on the next two observations? ...
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