- #1

laura_a

- 66

- 0

## Homework Statement

I have the following question

p(x) = log_10(1 + 1/x) for x = 1,2,3, ... 9 (otherwise p(x)=0)

So firstly I had to prove that p(x) is a probability function, which I have done so (by proving the sum of all the values =1)

anyway the second thing I have to do is determine an expression for the corresponding distribution function. How exactly do I do this? The information on wiki is confusing and the textbook doesn't seem to cover it? Can anyone help?

## Homework Equations

## The Attempt at a Solution

I've read 2 textbooks and the internet and I can't find an exact method or style of answer, but I know it has to have inequalities in it and I have done some working out plugging in each value and getting an answer, but I am unable to write it out in the format that the textbook has... that is would be something like

P_x(x) = { 0 for x <1

... etc... but if I wrote something like =1 for x<=9 that isn't exactly true because if x was 8.5 then it wouldn't equal one... this is what I was just working on when I realized I must have the wrong idea... the question asks me to write an expression for the distribution function... is there a simple way I can just write a general?? Do I need to interal because I have worked that out just in case...

Thanks for any help you can give me..