The heights of first-time freshmen in a San Antonio area school district have a population of 5,000 freshmen whom heights are approximately normally distributed with mean 64 inches and standard deviation 3 inches.
Which of the following is the shortest interval that contains approximately 2,500 first-time freshmen heights?
(A) 0 in to 64 in
(B) 64 in to 73 in
(C) 55 in to 64 in
(D) 62 in. to 66 in
(E) 63 in to 65 in