Question: I know that the minimum time to go to -1 is go by 1-1-1-1 = -2 through three steps of X i = -1. Then

I know that the minimum time to go to -1 is go by 1-1-1-1 = -2 through three steps of X_i= -1. Then how to calculate E[T] and Var[T]?

6. (4pts) Let Sn = 1 + _Xi be a random walk with p = P(X; = 1) = 1/4 and q = P(Xi = -1) = 3/4. Suppose that T = min {n 2 0 : Sn = -2}. Compute E(T) and Var(T)

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