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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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