6.88 Two people agree to meet at a specified place between 3:00 P.M. and 4:00 P.M. Suppose that you measure time to the nearest minute relative to 3:00 P.M. so that, for instance, time 40 represents 3:40 P.M. Further suppose that each person arrives according to the discrete uniform distribution on {0, 1, ..., 60) and that the two arrival times are independent. a) Determine the PMF of the number of minutes that the first person to arrive waits for the second person to arrive. b) Use the result of part (a) to find the probability that the first person to arrive waits no longer than 10 minutes for the second person to arrive. c) Determine the PMF of the time of the first person to arrive. d) Determine the PMF of the time of the second person to arrive