\documentclass[border=5mm]{standalone}

\usepackage{pgfplots}

\pgfplotsset{compat=1.12}

\begin{document}

\begin{tikzpicture}[ % Define Normal Probability Function

declare function={

normal(\x,\m,\s) = 1/(2*\s*sqrt(pi))*exp(-(\x-\m)^2/(2*\s^2));

}

]

\begin{axis}[

no markers,

domain=0:12,

zmin=0, zmax=1,

xmin=0, xmax=3,

samples=200,

samples y=0,

axis lines=middle,

xtick={0.5,1.5,2.5},

xmajorgrids,

xticklabels={},

ytick=\empty,

xticklabels={$x_1$, $x_2$, $x_3$},

ztick=\empty,

xlabel=$x$, xlabel style={at={(rel axis cs:1,0,0)}, anchor=west},

ylabel=$y$, ylabel style={at={(rel axis cs:0,1,0)}, anchor=south west},

zlabel=Probability density, zlabel style={at={(rel axis cs:0,0,0.5)}, rotate=90, anchor=south},

set layers

]

\addplot3 [samples=2, samples y=0, domain=0:3] (x, {1.5*(x-0.5)+3}, 0);

\addplot3 [cyan!50!black, thick] (0.5, x, {normal(x, 3, 0.5)});

\addplot3 [cyan!50!black, thick] (1.5, x, {normal(x, 4.5, 1)});

\addplot3 [cyan!50!black, thick] (2.5, x, {normal(x, 6, 1.5)});

\pgfplotsextra{

\begin{pgfonlayer}{axis background}

\draw [on layer=axis background] (0.5, 3, 0) -- (0.5, 3, {normal(0,0,0.5)}) (0.5,0,0) -- (0.5,12,0);

\draw (1.5, 4.5, 0) -- (1.5, 4.5, {normal(0,0,1)}) (1.5,0,0) -- (1.5,12,0);

\draw (2.5, 6, 0) -- (2.5, 6, {normal(0,0,1.5)}) (2.5,0,0) -- (2.5,12,0);

\end{pgfonlayer}

}

\end{axis}

\end{tikzpicture}

\end{document}

can anyone help me to convert this file into Matlab script file?