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## 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)

## Homework Equations

## 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.