Consider a dynamic system with three states, s1, 82, and s3. (0.7 0.3 0.3 0.2 0.6 0.2 be the transition matrix such that a;; is the probability of moving from s; to s;. Let a = 0.1 0.1 0.5, Let A = x2 be a stationery distribution of A with sum of elements x1 + x2 + x3 = 120. Find x2. X2 = 20 x2 = 40 X2 = 60 x2 = 80

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider a dynamic system with three states, s_1s1​, s_2s2​, and s_3s3​. 

Let A = \begin{pmatrix} 0.7&0.3 &0.3 \\0.2& 0.6 & 0.2 \\ 0.1 & 0.1 &0.5 \end{pmatrix}A=⎝⎛​0.70.20.1​0.30.60.1​0.30.20.5​⎠⎞​ be the transition matrix such that a_{ij}aij​ is the probability of moving from s_jsj​ to s_isi​. Let \overrightarrow{x} = \begin{pmatrix}x_1\\x_2\\x_3\end{pmatrix}x=⎝⎛​x1​x2​x3​​⎠⎞​ be a stationery distribution of AA with sum of elements x_1+x_2+x_3=120x1​+x2​+x3​=120. Find x_2x2​.

Consider a dynamic system with three states, s1, 82, and s3.
0.7 0.3 0.3
Let A
0.2 0.6 0.2
be the transition matrix such that a;j is the probability of moving from s; to s;. Let a =
be a stationery distribution of A with sum of
X2
0.1 0.1 0.5
elements x1 + x2+ x3
120. Find x2.
%3D
20
O x2 =
40
O x2 = 60
X2
= 80
Transcribed Image Text:Consider a dynamic system with three states, s1, 82, and s3. 0.7 0.3 0.3 Let A 0.2 0.6 0.2 be the transition matrix such that a;j is the probability of moving from s; to s;. Let a = be a stationery distribution of A with sum of X2 0.1 0.1 0.5 elements x1 + x2+ x3 120. Find x2. %3D 20 O x2 = 40 O x2 = 60 X2 = 80
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