Consider the mixture of two Gaussians X and Y
\rho([\begin{matrix}x\\ y\end{matrix}])=0.2\mathcal{N}([\begin{matrix}8\\ 1\end{matrix}],[\begin{matrix}1&0\\ 0&1\end{matrix}])+0.6\mathcal{N}([\begin{matrix}1\\ 0\end{matrix}],[\begin{matrix}3&1\\ 1&2\end{matrix}]).
Find the mean of X.
