A density curve for all the possible ages between 0 years and 25 years is in the shape of a triangle. What is the height of the triangle?

a) 0.16
b) 0.08
c) 0.02
d) 0.04

0.08 0.08 (APEX)

To find the height of the triangle, we need to understand that the area under the density curve is equal to 1. Since the density curve is in the shape of a triangle, the area of the triangle is given by the formula A = (base * height) / 2. In this case, the base is 25 years (from 0 to 25) and the area is equal to 1.

Substituting the given values, we get:
1 = (25 * height) / 2

To solve for height, we can rearrange the equation:
height = (2 * 1) / 25
height = 0.08

Therefore, the height of the triangle is 0.08. So, the correct answer is b) 0.08.