Suppose a two state experiment has the following transition matrix: 0.8 0.2 0.6 0.4] P = 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? 4. Find P(4). 5. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the fifth observation? 6. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the third and fifth observation?
Suppose a two state experiment has the following transition matrix: 0.8 0.2 0.6 0.4] P = 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? 4. Find P(4). 5. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the fifth observation? 6. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the third and fifth 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:
0.8
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?
4. Find P(4).
5. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the fifth observation?
6. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the third and fifth observation?
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