Xj = 1 W = H -1 w = T is a random variable with P(X; = 1) = symmetric random walk as P(X; = = 1) = P(X; k Mk=Xj j=1 With the symmetric scaled random walk given by 1 W (n) (t) n Mnt -1) 1) = 1, we define the and D = - For a given Consider our binomial model with U = path, let Hnt be the number of "heads" or "ups" and Tnt be the number of "tails" or "downs". (a) Write number of flips nt in terms of Hnt and Tnt (b) Write the position Mnt in terms of Hnt and Int (c) Before we had an expression like S(T) = S(0)(1+ U)k (1 + D)Nk. Write a similar expression in terms of S(0), o, n, t and Mnt