\setcounter{ExampleCounter}{1}
It may be helpful to think back to the normal distribution and the t distribution as we meet the chi-square distribution (typically written $\chi^2$-distribution, as $\chi$ is the Greek letter chi, pronounced `kai').
\begin{itemize}
\item \text{}
\vspace{0.75in}

\item \text{}
\vspace{0.75in}

\item \text{}
\vspace{0.25in}

\begin{center}
\begin{tikzpicture}[scale=0.5,domain=.001:16,samples=200,thick]
    \clip (-1,-1) rectangle (17,10);
    \foreach[count=\k,evaluate={\z=\k>2?"(0,0)--":"";\c=10*\k}] 
      \g in {sqrt(pi),1,sqrt(pi)/2,1,3/4*sqrt(pi),2,15/8*sqrt(pi),6}
        \draw[color=blue!\c!red,yscale=30] \z 
          plot (\x,{exp(ln(\x/2)*\k/2-ln(\x)-\x/2-ln(\g))});
  \end{tikzpicture}
\end{center}

\item \text{}
\vfill

\item \text{}
\end{itemize}
\vspace{0.5in}
\pagebreak

\subsection{Calculation}
To use the calculator to find areas under the graph of the $\chi^2$-distribution, 
\begin{itemize}
\item \text{}
\vspace{1in}

\item \text{}
\vspace{1in}

\item \text{}
\vspace{1in}

\item \text{}
\vspace{1in}
\end{itemize}

With that, we're ready to start testing goodness-of-fit.
\vfill
\pagebreak
