Question $2(9$ points$)$

Question $2$ options:

Given the payoff table below

Probability

$0\mathrm{.}2$

$0\mathrm{.}5$

$0\mathrm{.}3$

S$1$

S$2$

S$3$

D$1$

$-25$

$5$

$15$

D$2$

$0$

$20$

$10$

D$3$

$10$

$15$

$5$

D$4$

$40$

$10$

$-5$

Enter answers as D$1,$ D$2,$ D$3,$ D$4,$ S$1,$ S$2$ or S$3($one only per answer$)$

Using the optimistic $($maximax$)$ criteria the choice is

Using the pessimistic model $($maximin$)$ the choice is

Using the expected value criteria the choice is

Using the Regrets criteria $($minmaxRegrets$)$ the choice is