\begin{equation} P(x)=\cos^2\theta \frac{1}{\sqrt{2\pi\sigma_1^2}}e^{-\frac{(x-x_{0,1})^2}{2\sigma_1^2}}+\sin^2\theta \frac{1}{\sqrt{2\pi\sigma_2^2}}e^{-\frac{(x-x_{0,2})^2}{2\sigma_2^2}} \end{equation}