A Markor chain {X,n=0,1, 2 ..} has initial distribution uo =[0.1,0.3, 0.6]' and transition [0.2 0.3 0.5 matrix P=|0.3 0.2 0.5 having states 0.3 0.3 0.4 (1,2,3), obtain : (i) P [X, = 3] (ii) P [X, = 2, X, = 3] (ii) P [X, = 1, X, = 3, X, = 2]
A Markor chain {X,n=0,1, 2 ..} has initial distribution uo =[0.1,0.3, 0.6]' and transition [0.2 0.3 0.5 matrix P=|0.3 0.2 0.5 having states 0.3 0.3 0.4 (1,2,3), obtain : (i) P [X, = 3] (ii) P [X, = 2, X, = 3] (ii) P [X, = 1, X, = 3, X, = 2]
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer with all the steps explained. I have to learn it for the exams.
![(a)
A Markor chain {X,n=0,1, 2, ....} has initial
distribution uo =[0.1, 0.3, 0.6]' and transition
[0.2 0.3 0.5
matrix P=| 0.3 0.2 0.5
having states
0.3 0.3 0.4
(1,2,3), obtain :
(i)
P [X, = 3]
%3D
(ii)
P [X, = 2, X, = 3]
%3D
(ii)
P (X, = 1, X, = 3, X, = 2]
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97790b23-df88-4da6-b5d6-fd8c2483db90%2Feac8d8f3-7c32-42cb-8dea-3e78da66b50e%2Faka79gat_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a)
A Markor chain {X,n=0,1, 2, ....} has initial
distribution uo =[0.1, 0.3, 0.6]' and transition
[0.2 0.3 0.5
matrix P=| 0.3 0.2 0.5
having states
0.3 0.3 0.4
(1,2,3), obtain :
(i)
P [X, = 3]
%3D
(ii)
P [X, = 2, X, = 3]
%3D
(ii)
P (X, = 1, X, = 3, X, = 2]
%3D
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