# Probablity question (confused on the pdf)

## Homework Statement

[itex]
$f(x)=\begin{cases} 7(4)^{-i} & x\in(\frac{1}{2^{i}},\frac{1}{2^{i-1}}],i=1,2,3,...\\ 0 & 0\geq x,x>1 \end{cases}$ (please excuse the poor latex)

## The Attempt at a Solution

the problem i'm having is say x=3/4. then according to the pdf, shouldn't P(x)=7*(4^-1)=7/4>1. i mean, shouldn't it be bounded by 1? when i integrate this out, i get 1, like i should, so i'm not sure what mistake i'm making.

what is the actual question? Maybe I'm missing it, but it seems like you just posted an equation without any description of what you are trying to do

jbunniii