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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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