Q18. Suppose M is a stochastic matrix representing the probabilities of transitions each day. Compute the matrix of compounded transition probabilities for 2 days into the future, or M². (Note, prior to multiplying matrices, the given components of M must be used to fill in the missing component [**] such that M is a stochastic matrix.) M = 0.80 0.14 0.06 0.07 0.62 ** 0.35 0.41 0.24 What is m32 in the matrix M²? (Round to 3 decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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Q18. Suppose M is a stochastic matrix representing the probabilities of transitions
each day. Compute the matrix of compounded transition probabilities for 2 days into
the future, or M². (Note, prior to multiplying matrices, the given components of M
must be used to fill in the missing component [**] such that M is a stochastic matrix.)
M =
What is
0.80
0.14
0.06
m32
0.07
0.62
**
0.35
0.41
0.24
in the matrix M²? (Round to 3 decimal places.)
Transcribed Image Text:Q18. Suppose M is a stochastic matrix representing the probabilities of transitions each day. Compute the matrix of compounded transition probabilities for 2 days into the future, or M². (Note, prior to multiplying matrices, the given components of M must be used to fill in the missing component [**] such that M is a stochastic matrix.) M = What is 0.80 0.14 0.06 m32 0.07 0.62 ** 0.35 0.41 0.24 in the matrix M²? (Round to 3 decimal places.)
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