An artificial intelligence system was design to forecast the financial predict change based on observed variables from the business envir learning model is to be designed in understand and forecast trends bas The variables to be observed are • Population(A) Poverty rate(B) • Inflation (C) • Available resources(D) Theses variables can affect each other or impact upon one another. [P,1 P12 P21 P22 Pij ... Ps P2s ... ... ... P = Pi1 P12 Pij Pis ... ... Ps2 ... Psj ... Pss The matix P represent the general form of an state matrix. Below is a table of the variables with their effect on each other. A D A 0.1 0.1 0.1 0.7 B 0.2 0.3 0.2 0.3 0.3 0.4 0.1 0.2 D 0.4 0.2 0.2 0.2 Answer the following question below: a. Provide a general markov state diagram for the variable described.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section17.4: Classification Of States In A Markov Chain
Problem 5P
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An artificial intelligence system was design to forecast the financial trading market and
predict change based on observed variables from the business environment. A machine
learning model is to be designed in understand and forecast trends based on Markov chain.
The variables to be observed are
• Population(A)
Poverty rate(B)
• Inflation (C)
• Available resources(D)
Theses variables can affect each other or impact upon one another.
[ P1,1 P12
Pij
P2j
P1s
...
...
P21 P22
P2.5
...
...
P =
P1 P2
Pij
Pis
...
...
Ps,1 Ps2
The matix P represent the general form of an state matrix.
Psj
Ps.s.
Below is a table of the variables with their effect on each other.
A
B
D
A
0.1
0.1
0.1
0.7
B
0.2
0.3
0.2
0.3
0.3
0.4
0.1
0.2
D
0.4
0.2
0.2
0.2
Answer the following question below:
a. Provide a general markov state diagram for the variable described.
b. Assuming the below factor, A, affected the state in the table above, produce the state
diagram for, A, and calculate the final state.
.25 .20 .25 .30
.20 30 .25 .30
.25 .20 .40 .10
A
30 30 .10 .30
C.
Discuss the significance of hidden markov chain in a historic data.
Transcribed Image Text:An artificial intelligence system was design to forecast the financial trading market and predict change based on observed variables from the business environment. A machine learning model is to be designed in understand and forecast trends based on Markov chain. The variables to be observed are • Population(A) Poverty rate(B) • Inflation (C) • Available resources(D) Theses variables can affect each other or impact upon one another. [ P1,1 P12 Pij P2j P1s ... ... P21 P22 P2.5 ... ... P = P1 P2 Pij Pis ... ... Ps,1 Ps2 The matix P represent the general form of an state matrix. Psj Ps.s. Below is a table of the variables with their effect on each other. A B D A 0.1 0.1 0.1 0.7 B 0.2 0.3 0.2 0.3 0.3 0.4 0.1 0.2 D 0.4 0.2 0.2 0.2 Answer the following question below: a. Provide a general markov state diagram for the variable described. b. Assuming the below factor, A, affected the state in the table above, produce the state diagram for, A, and calculate the final state. .25 .20 .25 .30 .20 30 .25 .30 .25 .20 .40 .10 A 30 30 .10 .30 C. Discuss the significance of hidden markov chain in a historic data.
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