Suppose you have continuous random variables \(X,Y\), you can use one to seed the value and the other to change the Gaussian distribution:

\begin{equation} p(x\mid y) = \mathcal{N}(x \mid my + b, \sigma^{2}) \end{equation}

Suppose you have continuous random variables \(X,Y\), you can use one to seed the value and the other to change the Gaussian distribution:

\begin{equation} p(x\mid y) = \mathcal{N}(x \mid my + b, \sigma^{2}) \end{equation}