consider the random walk problem. a drunk takes a step toward right with a probability p and a step toward left with a probability q 1- p. (assume a one dimensional road, and assume that successive steps are uncorrelated.) each step has a length 1. we showed in class that the probability that the drunk is at rm after n steps (starting at the origin) 1s n(m) = where nr is the number of steps toward right, and n1 = n-nr s the number of steps toward left, and m-nr- ni. we calculated in class that the means are (nr) = pn and 〈n1) = q (i) calculate the mean values (v ) and (n2) (iii) show that the variance 〈(nr-(nr))2〉 = 〈n訇))2. use above results to obtain the mean \v