Suppose that a Markov chain with 4 states and with transition matrix P is in state 3 on the fifth observation. Which of the following expressions represents the probability that it will be in state 4 on the tenth observation? (A) the (5, 10) entry of Pª (B) the (3,4) entry of P³ (C) the (10, 5) entry of Pª (D) the (4,3) entry of På (E) the (5, 10) entry of P³ (F) the (4,3) entry of P10 (G) the (3, 4) entry of P10 (H) the (10,5) entry of P³
Suppose that a Markov chain with 4 states and with transition matrix P is in state 3 on the fifth observation. Which of the following expressions represents the probability that it will be in state 4 on the tenth observation? (A) the (5, 10) entry of Pª (B) the (3,4) entry of P³ (C) the (10, 5) entry of Pª (D) the (4,3) entry of På (E) the (5, 10) entry of P³ (F) the (4,3) entry of P10 (G) the (3, 4) entry of P10 (H) the (10,5) entry of P³
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 58E
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![Suppose that a Markov chain with 4 states and with transition matrix P is in state 3
on the fifth observation. Which of the following expressions represents the probability
that it will be in state 4 on the tenth observation?
(A)
the (5, 10) entry of Pª
(B) the (3, 4) entry of Pš
(C)
the (10, 5) entry of Pª
(D) the (4, 3) entry of P3
(E)
the (5, 10) entry of P3
(F) the (4, 3) entry of P10
(G)
the (3, 4) entry of P10
(H) the (10, 5) entry of P3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F079edce5-6dcf-4961-a19a-fcb97ab1f3f3%2F5e23947e-f575-4096-b64c-a84b5ac50726%2F903o7pa_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that a Markov chain with 4 states and with transition matrix P is in state 3
on the fifth observation. Which of the following expressions represents the probability
that it will be in state 4 on the tenth observation?
(A)
the (5, 10) entry of Pª
(B) the (3, 4) entry of Pš
(C)
the (10, 5) entry of Pª
(D) the (4, 3) entry of P3
(E)
the (5, 10) entry of P3
(F) the (4, 3) entry of P10
(G)
the (3, 4) entry of P10
(H) the (10, 5) entry of P3
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