2 [Feller] We consider throws of a die, and say the system is in state s; if the largest number yet appearing on the die was i. (a) Give the transition matrix. (b) Start the system in state s₁, and run it for five throws. What is the vector at the end?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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Please do Exercise 2 part A and B and please show step and explain.

Topic of this question is Markov Chains

2 [Feller] We consider throws of a die, and say the system is in state s; if the largest
number yet appearing on the die was i.
(a) Give the transition matrix.
(b) Start the system in state s₁, and run it for five throws. What is the vector at
the end?
Transcribed Image Text:2 [Feller] We consider throws of a die, and say the system is in state s; if the largest number yet appearing on the die was i. (a) Give the transition matrix. (b) Start the system in state s₁, and run it for five throws. What is the vector at the end?
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