b$)$ Consider a neural network for two$-$class classification, $y=(a(w,x))$ and a data set $D=\{x_n,t_n\},$ where $t_{n}in\{0,1\},w$ has a Gaussian priori, i$.$e$.,(0,{}^{-1}I|),$ and $a(w,x)$ is the neural network model. Please derive the posterior distribution, $(D,|),$ posterior predictive distribution, $(x,D,|),$ and the prior predictive distribution, $(|),$ respectively.