Problem
ABC High School is competing in a swimming meet this upcoming weekend. The coaches know that the average time for students to swim the ¼ mile at this meet is 2.7 minutes with a standard deviation of .4 minutes. The coach knows that his students have the same talent level as others that are competing in this meet.
i. What percentage of his students are expected to swim the ¼ mile in 2 minutes or more?
ii. What percentage of his students are expected to swim the ¼ mile between 2.5 and 2.8 minutes?
iii. What percentage are expected to swim the ¼ mile in more than 2.2 minutes?