Question

A density curve for all the possible ages between 0 years and 100 years is in the shape of a triangle. What is the height of the triangle?

A. 0.08
B. 0.04
C. 0.01
D. 0.02

Answer 1

Hello there.

A density curve for all the possible ages between 0 years and 100 years is in the shape of a triangle. What is the height of the triangle?

Answer: D

Answer 2

Option D) 0.02 is the answer.

Explanation:

Given that a density curve for all the possible ages between 0 years and 100 years is in the shape of a triangle.

We know that probability for any event A = favourable outcomes/total outcomes

Because probability is expressed as a ratio, probability of an event is always positive and lies between 0 and 1.

Hence total probability is always 1.

Under density curve the area represents the total probability and hence total area =1

Area = Area of triangle = 1/2 bh

=
`(1)/(2) (100)(h)=1\\h = (2)/(100) \\h=0.02`

Hence altitude = 0.02