Please show ALL work AND formulas!! Use the following information for the problem.

$\backslash$table$[[\backslash$table$[[$State of$],[$Occurs$]],$Probability of$,$Returns If State of Economy$],[$Economy$,$State of Economy,Stock $S,$Stock T$],[,,,],[$Boom$,0\mathrm{.}20,$ or $20\%,0\mathrm{.}05($or $5\%$