11.1. Let w1, W2,... be considered as iid random variables on {H, T} such that P(w₁ = H) = P(w₁ = T) 1/2. For each ke Z0 and for each w E {H,T), define := if wk = H -1, if wk=T = CX, for k> 0, and for each m = Z Define a process (M1, M2,...) by Mo = 0 and Mk define. 7m (w) to be the first positive integer I such that Mi(w) = m. (c) Show that for all ne Z20 we have that M, and -M, have the same distribution. (d) Show that for all n€ Zo we have that 7 and 7 have the same distribution. 24