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For the general two state Markov chain of Exercise 9 8

For the general two- state Markov chain of Exercise 9.8, suppose the states are called 0 and 1. Furthermore, suppose Pr (X0= 0)= s and Pr (X0= 1) = 1 – s .

(a) Find Pr (X1= 0, X2= 1).

(b) Find Pr (X1= 1 | X0= 0, X2= 0).

(c) Find Pr (X2 = X1). Is it the same as Pr (X1 = X0)?

(a) Find Pr (X1= 0, X2= 1).

(b) Find Pr (X1= 1 | X0= 0, X2= 0).

(c) Find Pr (X2 = X1). Is it the same as Pr (X1 = X0)?

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