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\usepackage{amsmath, amssymb, graphics}

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\begin{document}

\noindent\(\pmb{}\\
\pmb{\text{正規分布の密度関数を表示する}}\)

\noindent\(\pmb{\text{PDF}[\text{NormalDistribution}[0,1],x]}\)

\noindent\(\frac{e^{-\frac{x^2}{2}}}{\sqrt{2 \pi }}\)

\noindent\(\pmb{\text{Plot}[\{}\\
\pmb{\text{PDF}[\text{NormalDistribution}[0,1],x],}\\
\pmb{\text{PDF}[\text{NormalDistribution}[-1.5,1],x],}\\
\pmb{\text{PDF}[\text{NormalDistribution}[-1/4,1/2],x],}\\
\pmb{\text{PDF}[\text{NormalDistribution}[0,1.5],x],}\\
\pmb{\text{PDF}[\text{NormalDistribution}[1,0.8],x]\}}\\
\pmb{,\{x,-3,3\}]}\)

\includegraphics{正規のグラフ_gr1.eps}

\noindent\(\pmb{}\)

\noindent\(\pmb{\text{カイ2乗分布を表示し、}}\)

\noindent\(\pmb{\text{PDF}[\text{ChiSquareDistribution}[\nu ],x] }\)

\noindent\(\frac{2^{-\nu /2} e^{-x/2} x^{-1+\frac{\nu }{2}}}{\text{Gamma}\left[\frac{\nu }{2}\right]}\)

\noindent\(\pmb{\text{パラメータ1，2，3，5の場合をグラフ化する}}\)

\noindent\(\pmb{\text{Plot}[}\\
\pmb{\text{  }\{\text{PDF}[\text{ChiSquareDistribution}[1],x],}\\
\pmb{\text{PDF}[\text{ChiSquareDistribution}[2],x],}\\
\pmb{\text{PDF}[\text{ChiSquareDistribution}[3],x],}\\
\pmb{\text{PDF}[\text{ChiSquareDistribution}[5],x],\},}\\
\pmb{\{x,0,20\}]}\)

\includegraphics{正規のグラフ_gr2.eps}

\noindent\(\pmb{\text{Plot}[}\\
\pmb{\text{  }\{\text{PDF}[\text{ChiSquareDistribution}[2],x],}\\
\pmb{\text{PDF}[\text{ChiSquareDistribution}[5],x],}\\
\pmb{\text{PDF}[\text{ChiSquareDistribution}[10],x],}\\
\pmb{\text{PDF}[\text{ChiSquareDistribution}[20],x],\},}\\
\pmb{\{x,0,50\}]}\)

\includegraphics{正規のグラフ_gr3.eps}

\end{document}
