I recently competed in a 5k race that had a mean finish time of 24.3 minutes and standard deviation of 4 minutes. The finish times were normally distributed.

7. _(10 pt) One of the runners had a finish time one standard deviation below the mean. If there were 202 runners in the race, how many had a faster finish time? B._ (15 pt) If my finish time was 22.1 minutes, a) Calculate the z-score for my time. b) What percentage of runners had a faster finish time? c) If I would like to finish in the top 20%, how many minutes (to the nearest tenth of a minute) would I need to cut from my time in this race