Miller ran a marathon a few years ago.

: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