Suppose that a Markov chain with 3 states and with transition matrix P is in state 3 on the first observation. Which of the following expressions represents the probability that it will be in state 1 on the third observation? (A) the (3, 1) entry of P (B) the (1,3) entry of P3 (C) the (3,1) entry of P4 (D) the (1,3) entry of P2 (E) the (3, 1) entry of P (F) the (1,3) entry of P4 (G) the (3, 1) entry of P2 (H) the (1,3) entry of P
Suppose that a Markov chain with 3 states and with transition matrix P is in state 3 on the first observation. Which of the following expressions represents the probability that it will be in state 1 on the third observation? (A) the (3, 1) entry of P (B) the (1,3) entry of P3 (C) the (3,1) entry of P4 (D) the (1,3) entry of P2 (E) the (3, 1) entry of P (F) the (1,3) entry of P4 (G) the (3, 1) entry of P2 (H) the (1,3) entry of P
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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![Suppose that a Markov chain with 3 states and with transition matrix P is in state 3
on the first observation. Which of the following expressions represents the probability
that it will be in state 1 on the third observation?
(A) the (3, 1) entry of P3
(B) the (1,3) entry of P3
(C) the (3, 1) entry of Pª
(D) the (1,3) entry of P2
(E) the (3, 1) entry of P
(F) the (1,3) entry of P4
(G) the (3, 1) entry of P2
(H) the (1,3) entry of P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c9ddf57-7206-4b7b-bcab-c8d9e3ec91d7%2Fe263d5fb-4bf3-4beb-82eb-ec5680af2459%2Fc6effcl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that a Markov chain with 3 states and with transition matrix P is in state 3
on the first observation. Which of the following expressions represents the probability
that it will be in state 1 on the third observation?
(A) the (3, 1) entry of P3
(B) the (1,3) entry of P3
(C) the (3, 1) entry of Pª
(D) the (1,3) entry of P2
(E) the (3, 1) entry of P
(F) the (1,3) entry of P4
(G) the (3, 1) entry of P2
(H) the (1,3) entry of P
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