Suppose that a Markov chain with 4 states and with transition matrix P is in state 4 on the fourth observation. Which of the following expressions represents the probability that it will be in state 1 on the sixth observation? (A) the (4, 6) entry of P (B) the (1,4) entry of P² (C) the (4, 1) entry of P2 (D) the (4,6) entry of P4 (E) the (1,4) entry of P6 (F) the (4, 1) entry of P6 (G) the (6,4) entry of P (H) the (6,4) entry of Pª
Suppose that a Markov chain with 4 states and with transition matrix P is in state 4 on the fourth observation. Which of the following expressions represents the probability that it will be in state 1 on the sixth observation? (A) the (4, 6) entry of P (B) the (1,4) entry of P² (C) the (4, 1) entry of P2 (D) the (4,6) entry of P4 (E) the (1,4) entry of P6 (F) the (4, 1) entry of P6 (G) the (6,4) entry of P (H) the (6,4) entry of Pª
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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
Transcribed Image Text:Suppose that a Markov chain with 4 states and with transition matrix P is in state 4 on
the fourth observation. Which of the following expressions represents the probability
that it will be in state 1 on the sixth observation?
(A) the (4, 6) entry of P
(B) the (1,4) entry of P2
(C) the (4, 1) entry of P2
(D) the (4, 6) entry of P4
(E) the (1,4) entry of P6
(F) the (4, 1) entry of P6
(G) the (6,4) entry of P
(H) the (6, 4) entry of P4
O A
В
C
O D
O E
F
O H
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