: 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 15thpercentile (15% of finishers were under that time)
(c) the percent to runners who finished between 3 hours and 4 hours