A Markov chain {x}=0,1,2,... satisfies the difference equation x = Ax-1 for every k ≥ 1, where 0.8 0.6 A-(0506) = 0.2 0.4 (i) Find the general term x for k 21. (ii) What happens to x as k→ ∞o? and Xo = (0:3).

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A Markov chain {x}=0,1,2,.. satisfies the difference equation X =
Axk-1 for every k ≥ 1, where
- (0.9
A =
{)
0.8 0.6
0.2 0.4
(i) Find the general term x for k≥ 1.
(ii) What happens to x as k→ ∞o?
- (0.3).
and Xo =
Transcribed Image Text:A Markov chain {x}=0,1,2,.. satisfies the difference equation X = Axk-1 for every k ≥ 1, where - (0.9 A = {) 0.8 0.6 0.2 0.4 (i) Find the general term x for k≥ 1. (ii) What happens to x as k→ ∞o? - (0.3). and Xo =
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