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

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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
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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