$($b$)[4$ points$]$ Now suppose that you run each model, and they make the following predic$-$

tions:

$p(y_{t+1}|y_t,{}_1)=\mathrm{.}4$

$p(y_{t+1}|y_t,{}_2)=\mathrm{.}75$

$p(y_{t+1}|y_t,{}_3)=\mathrm{.}6$

What is the maximum a posterior estimate $p(y_{t+1}|y_t,$hat$({)}_{\text{M}\text{A}\text{P}})?$ Based on the MAP

estimate, would you be better off buying or selling?

$($c$)$ points$]$

What is the estimate according to the posterior predictive distribution for $p(y_{t+1}|y_t)?$

$($I$.$e$.,$ using model averaging.$)$ Based on the PPD$,$ would you be better off buying or

selling? Computer Science. For this question if you need posterior probabilities just make some up I don't need an exact answer i am looking more at how you answer the following questions. thanks!