Q.2 Consider a random walk on (0,1,..., L}, with transition matrix II(i,i+1)= for eac i {1,...,L-1), and II(0,0)= II(L, L) = 1. For each i € (0,..., L), find the returi proability f:= P(X. i for some ne NIXo = i).

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Q.2 Consider a random walk on (0, 1,..., L}, with transition matrix II(i, i±1) = for ench
i e {1,..., L-1}, and II(0,0) = II(L, L) = 1. For each i e {0,..., L}, find the return
proability fi:= P(X =i for some n e N|Xo = i).
%3D
%3D
Transcribed Image Text:Q.2 Consider a random walk on (0, 1,..., L}, with transition matrix II(i, i±1) = for ench i e {1,..., L-1}, and II(0,0) = II(L, L) = 1. For each i e {0,..., L}, find the return proability fi:= P(X =i for some n e N|Xo = i). %3D %3D
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