1. Prof. Miller ran a marathon a few years ago. Given that the mean finishing time was 252 minutes with a standard deviation of 43 minutes and that finishing times were approximately normally distributed, find (a) the percent of finishers who ran faster than Prof. Miller's time of 3 hr 30 min. (b) a time that was the 15" percentile (15% of finishers were under that time) (c) the percent to runners who finished between 3 hours and 4 hours