Question: Using the posterior computed in the previous exercise, compute the expected likelihood: [pleft(mathbf{x}_{text {new }} mid T_{text {new }}=c, mathbf{X}, mathbf{t} ight)=mathbf{E}_{pleft(boldsymbol{mu}_{c}, boldsymbol{Sigma}_{c} mid mathbf{X}^{c}
Using the posterior computed in the previous exercise, compute the expected likelihood:
\[p\left(\mathbf{x}_{\text {new }} \mid T_{\text {new }}=c, \mathbf{X}, \mathbf{t}\right)=\mathbf{E}_{p\left(\boldsymbol{\mu}_{c}, \boldsymbol{\Sigma}_{c} \mid \mathbf{X}^{c}\right)}\left\{p\left(\mathbf{x}_{\text {new }} \mid \boldsymbol{\mu}_{c}, \boldsymbol{\Sigma}_{c}\right)\right\}\]
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