1) Suppose we have the following transition matrix 0 0.6 0.4 0.5 0 0.5 0.2 0.8 0 a) Find the steady state probabilities, Ti b) Find the first passage times from a state back to itself, Hii

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2) Suppose we have the following transition matrix with absorbing states
0
0.5 0 0.5
0.25 0 0.5 0.25
0 1
0
0 0
1
0
0
a) Identify the absorbing states
b) Find the probability of ultimately ending up in each of the absorbing states from each of the transient states.
Transcribed Image Text:2) Suppose we have the following transition matrix with absorbing states 0 0.5 0 0.5 0.25 0 0.5 0.25 0 1 0 0 0 1 0 0 a) Identify the absorbing states b) Find the probability of ultimately ending up in each of the absorbing states from each of the transient states.
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1) Suppose we have the following transition matrix
0
0.6 0.4
0.5 0 0.5
10.2 0.8 0
a) Find the steady state probabilities, TT;
b) Find the first passage times from a state back to itself, Hii
Transcribed Image Text:✓ Details 1) Suppose we have the following transition matrix 0 0.6 0.4 0.5 0 0.5 10.2 0.8 0 a) Find the steady state probabilities, TT; b) Find the first passage times from a state back to itself, Hii
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