# Probability density function.

• November 29th 2009, 08:56 AM
jebckr
Probability density function.
f(x)=k/x; [1,5]

Find the value of constant k so that the function is a probability density function on the indicated interval.

After integrating I got kln5-kln1=1. Or k(1.6094)=1. Is this right? I was thinking the answer would be a lot "nicer" seeing as how it is a textbook question.
• November 29th 2009, 10:08 AM
skeeter
Quote:

Originally Posted by jebckr
f(x)=k/x; [1,5]

Find the value of constant k so that the function is a probability density function on the indicated interval.

After integrating I got kln5-kln1=1. Or k(1.6094)=1. Is this right? I was thinking the answer would be a lot "nicer" seeing as how it is a textbook question.

$k = \frac{1}{\ln{5}}$

look any "nicer" ?
• November 29th 2009, 10:10 AM
jebckr
Oh, haha I hate when I miss little things like that. Thanks so much.