and P² = B C 0.20 0.52 0.28 0.21 0.31 0.48 A to state B in two trials is

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 16E: Consumer Preference In a population of 100,000 consumers, there are 20,000 users of Brand A, 30,000...
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Find the probability of going from state A to state B in two trials, given the transition matrix P and the second power of P below.
A B с
0.5 0.3 0.2
0.2 0.2 0.6
0.1 0.7 0.2
ΑΓ
P=B
A
and p² B
C
A B C
0.33 0.35 0.32
0.20 0.52 0.28
0.21 0.31 0.48
The probability of going from state A to state B in two trials is
DE
Transcribed Image Text:Find the probability of going from state A to state B in two trials, given the transition matrix P and the second power of P below. A B с 0.5 0.3 0.2 0.2 0.2 0.6 0.1 0.7 0.2 ΑΓ P=B A and p² B C A B C 0.33 0.35 0.32 0.20 0.52 0.28 0.21 0.31 0.48 The probability of going from state A to state B in two trials is DE
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