(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is my 1st post here, so I will do my best. The following question is part of a number of probability density functions that I have to prove. Once I have the hang of this I should be good for the rest, here is the question:

Prove that the following functions are probability density functions:

1/x^2 , x>0

2. Relevant equations

3. The attempt at a solution

As I understand to prove a probability density function it must satisfy

1. integral of f(x)dx=1

and

2. must not be negative f(x) for all x

I integrate the function of 1/x^2 which is -1/x but I find it tricky to explain myself on how f(x)dx=1

I would be greatfull on pointers on how to prove that the functions is a PDF in a clear manner.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Probability Density Function, prove it

**Physics Forums | Science Articles, Homework Help, Discussion**