The lost tourist. a lost tourist arrives at a point with 2 roads. the first road brings him back to the same point after 2 hours of walk. the last road leads to the city after 1 hour of walk. the tourist is determined to arrive at the city no matter how much time it takes. there are no signs on the roads and for this reason we assume that the tourist chooses a road equally likely at all times he returns to the initial point and independently from the past. define t the number of times the tourist will return to the initial point before arriving at the city. a. compute p (t = k) for any k = 1, b. what is the mean of t? what is the distribution of t? c. compute the mean time until the tourist reach the city.