Suppose that is the density function for heights of American men, in inches, and suppose that . Think carefully about what the meaning of this mathematical statement is.

(a) Approximately what percent of American men are between 68.7 and 69.3 inches tall?
Approximately percent.

(b) Suppose that the average height of American men is 69 inches. Would you expect or ?

(c) Suppose is the cumulative distribution function of . If , estimate each of:

You can earn partial credit on this problem.