A particle moves among the states 0, 1, 2 according to a Markov process whose transition probability matrix is ||0/11/11|| P = 0 Let Xn denote the position of the particle at the n-th move. Calculate P(Xn0|Xo =0) for n = 0, 1, 2, 3, 4. -IN -IN O

A particle moves among the states 0, 1, 2 according to a Markov process whose transition probability matrix is ||0/11/11|| P = 0 Let Xn denote the position of the particle at the n-th move. Calculate P(Xn0|Xo =0) for n = 0, 1, 2, 3, 4. -IN -IN O

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.7: Cooridinates And Change Of Basis

Problem 57E

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

Please show all steps and explain clearly.

A particle moves among the states 0, 1, 2 according to a Markov process whose
transition probability matrix is
||0
P =
2
Let X, denote the position of the particle at the n-th move. Calculate
P(X, = 0|Xo = 0) for n = 0,1, 2, 3, 4.
112

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