After graphing a frequency histogram of all finishing times, the times of the finishers in a 10 km run are roughly normally distributed with mean 58 minutes and standard deviation 10 minutes. (a) Obtain and interpret the three quartiles for the finishing times. (b) What percentage of runners finished the run in less than an hour? (c) What percentage of finish times is more than two standard deviations away from the mean? (d) If two finishers are independently selected, what is the probability that for both of them it took more than an hour to finish the run? (e) In this run, sixteen Dutchmen participated and they all finished (naturally). Find the probability that a Dutchman had a finishing time between 56 and 65 minutes. (f) Calculate the probability that the average finishing time for the sixteen Dutchmen was between 56 and 65 minutes.