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

Question

g100num [7]

3 years ago

9

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

Mathematics

2 answers:

yawa3891 [41] · Answer 1 · 2022-02-22T08:00:47+03:00

yawa3891 [41]3 years ago

8 0

Hello there.

<span>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</span>

Ierofanga [76] · Answer 2 · 2022-02-22T10:07:21+03:00

Answer:

Option D) 0.02 is the answer.

Step-by-step 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

= $\frac{1}{2} (100)(h)=1\\h = \frac{2}{100} \\h=0.02$

Hence altitude = 0.02