Question: Wanted help answering this question. Consider the Markov chain with state space {0, 1, 2, . . . } and transition probabilities p(m,m+1)=%(1;) formEO, 2

Wanted help answering this question.

Consider the Markov chain with state space {0, 1, 2, . . . } and transition probabilities p(m,m+1)=%(1;) formEO, 2 m+2 and p(0, 0) = 1 11(0, 1) = 3/4. Find the stationary distribution 71'. (Hint: Note that this is a birth and death chain and use the observation that \" 3 3\" 1 1 3 1 1 1 Z(z'+1)(z'+3)_z(i+1_i+3)_(1+_n+2_n+3) 1 1 p(m,m1)=(1+) formzl, for any n 2 0.)

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