# verify that f(x) is a pdf

• November 29th 2012, 01:17 PM
oyinkan
verify that f(x) is a probability density function
f(x)= 32/(x+4)^3 for x>0

how do i verify f(x) is a pdf, i know f(x) has to be integrated, but between which limits cos i can't seem to get 1
• November 29th 2012, 03:52 PM
GJA
Re: verify that f(x) is a pdf
Hi oyinkan,

Integrating over $(0, \infty)$ should do the trick.

Good luck!
• November 29th 2012, 04:31 PM
HallsofIvy
Re: verify that f(x) is a pdf
The problem says "x> 0" so your integration should be from 0 to infinity.