In Excel:

Let Y equal the height of a male high school student. Assume that Y is normally distributed with mean m inches and standard deviation 3.5 inches.

(a) If 53% of all high school students are taller than 67 inches, what is the mean m?

(b) Calculate the probability that the student is between 64 and 72 inches.

(c) Sketch the density curve of Y, label and 2, and shade the area under the density curve that corresponds to the probability that the student is between 64 and 72 inches.