$(3)$ Assume that $p({}_1)=0\mathrm{.}6,p({}_2)=0\mathrm{.}2,p({}_3)=0\mathrm{.}2,$ and zero$-$one loss.

a$.$ Use MATLAB to draw the posteriori probability. $($Optional: you can use a different simulation tool$).$

b$.$ Redo question $(2)$a $($required to solve it in your submission$)$

c$.$ What kind of loss values would alter the decision making? Hint: Use likelihood ratio.