Suppose that p (x) is the density function for heights of American men, in inches, and suppose that p (69) = 0.19. Think carefully about what the meaning of this mathematical statement is. (a) Approximately what percent of American men are between 68.6 and 69.4 inches tall?

15,2% of American men are between 68.6 and 69.4 inches tall.

Step-by-step explanation:

p (69) = 0.19 tells you that 19% of all American men are 69in tall. Now, we want to know what percentage of those men are exactly between 68.6 and 69.4 inches tall. We only need to multiply the given density function by the gap between the two heights we are looking for, so:

0.19 * (69.4-68.6) = 0.19*0.8 = 0.152*100 = 15,2%