Question

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

Answer 1

Answer:

Step-by-step explanation:

Note that the area under a probability density curve must be 1.

The formula for the area of a triangle is A = (1/2)(base)(height).

Here the base is 25 units.  Thus, A = 1 unit^2 = (1/2)(25 units)(height), or, after multiplying both sides of this equation by 2:

2 units^2  = ( 25 units)(height)

                             2 units^2

Then (height) = --------------------- = 0.08 unit

                            25 units

The height of the triangle is 0.08 unit.