$[\frac{0\mathrm{.}56}{1}$ Points$]$

CAMMBA$415.E\mathrm{.}013.$

The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states $of$ nature.

The probabilities for the states $of$ nature are $P(s_1)=0\mathrm{.}65,P(s_2)=0\mathrm{.}15,$ and $P(s_3)=0\mathrm{.}20.$

$(a)$ What $is$ the optimal decision strategy $if$ perfect information were available?

$If{s}_1$ then

$If{s}_2$ then

$If{s}_{3}EV=$

$(d)$ What $is$ the expected value $of$ perfect information?

$E\frac{V}{P}$I $=$