Thanks. I understand this. I guess the question was just really austerely written. Plus, I'm new to stochastic processes and it's been a while since I've taken probability. I'm wondering if you can walk me through a few more.
By conditioning according to the possible values of X_1 (first-step...
I was going to try and point out something wrong, but I see you can edit the above message now. This is my first time. Hope to get some good feedback! :)
Homework Statement
Give the value of u_0.Homework Equations
Let p>q>0 with p+q = 1 and a = q/p < 1. Let X_n denote the random walk with transitions
X_{n+1} = CASE 1: X_n + 1 with probability p and CASE 2: X_n - 1 with probability q. For i ≥ 0, we set u_i = P(X_n = 0 for some n ≥ 0|X_0 = i)...