A Markov chain with state space S {1,2} is described by the transition %3D matrix 1-a P 3= where 0< a <1 and 0< B< 1. 1-B Let Poo (n) = P (First retuning to state 0 in n steps, starting in state 0) %3D What is poo (n)? Hint: You may want to sketch the transition diagram to guide your thought process. Select one: O A. 1- a for n = 1 Рoо (п)- %3D | aB (1 – B)"-2 for n > 2 O B. aß Poo (n) = 1 B (1– B)"-2 for n > 2 for n = 1 1 a for n = 1 Рoo (п) | aß (1 – a)"-? for n > 2 OD. aß for n = 1 Рoo (п) — a (1 – 3)"² for n > 2 E. 1– a Poo (n) = { a (1 – a)"- for n 2 2 for n = 1 %3D

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A Markov chain with state space S
{1,2} is described by the transition
matrix
1- a
P =
where 0 < a <1 and 0<B< 1.
1
Let
Poo (n) = P (First retuning to state 0 in n steps, starting in state 0)
%3D
What is Poo (n)?
Hint: You may want to sketch the transition diagram to guide your thought
process.
Select one:
O A.
1- a
Poo (n) = { aß (1 – B)"- for n 2 2
for n = 1
O B.
(m) = {
aß
Í B(1– B)"-2 for n 2 2
for n = 1
Poo
OC.
1- a
aß (1 – a)"-? for n > 2
for n = 1
Poo
(n)%3D
OD.
aß
a (1 – 3)"- for n > 2
for n = 1
Poo
DE.
1 a
Poo (n) = 1 a (1– a)" for n 2 2
for n = 1
Transcribed Image Text:A Markov chain with state space S {1,2} is described by the transition matrix 1- a P = where 0 < a <1 and 0<B< 1. 1 Let Poo (n) = P (First retuning to state 0 in n steps, starting in state 0) %3D What is Poo (n)? Hint: You may want to sketch the transition diagram to guide your thought process. Select one: O A. 1- a Poo (n) = { aß (1 – B)"- for n 2 2 for n = 1 O B. (m) = { aß Í B(1– B)"-2 for n 2 2 for n = 1 Poo OC. 1- a aß (1 – a)"-? for n > 2 for n = 1 Poo (n)%3D OD. aß a (1 – 3)"- for n > 2 for n = 1 Poo DE. 1 a Poo (n) = 1 a (1– a)" for n 2 2 for n = 1
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