$2\mathrm{.}1\mathrm{.}1.$ Write the marginal probability of $x,$ i$.$e$.p(x)[3$pts$]$

$--$ Express your answers in terms of $N(x|3v,4{}^2)$ and $N(x|2v,9{}^2)$ may be simpler

$--$ HINT: For this question suppose we have a Gaussian Distribution $N(3v,7{}^2),$ it means $N(=3v,{}^2=7{}^2)$

$--$ HINT: Start with the Sum Rule