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).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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Can someone please help me with these two questions. I am having so much trouble.

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?
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?
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