2. (6 points) An investment analyst has tracked a certain blue-chip stock for the past six months and found that on any given day, it either goes up a point or goes down a point. Furthermore, it went up on 20% of the days and down on 80%. Assume that the daily fluctuations are independent events. (i) What is the probability that at the close of trading three days from now, the price of the stock will be at least as high as today? (ii) What is the probability that the last day the stock will go down given that it went up the first day?