Question: Let Xn=X0+k=1nk,n=0,1,2, denote a Random Walk process, with X0=x integer x, and (k),k=1,2, is a sequence of i.i.d. random variables with distribution P(1=1)=2/3=1P(1=2). Let T=T[100,)
Let Xn=X0+k=1nk,n=0,1,2, denote a Random Walk process, with X0=x integer x, and (k),k=1,2, is a sequence of i.i.d. random variables with distribution P(1=1)=2/3=1P(1=2). Let T=T[100,) be first time when the Random Walk hits the set [100,). (a) Show that T=T{100,101}, the first hitting time of the set {100,101}. (b) Write the difference equation for (x)=P(T
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