Assignment $2-$ FIN $3002$

$2.$ Your next task is to analyze a proposed portfolio of Chevron, American Airlines, and ExxonMobil stocks. The forecast analyst in your team has provided you with a table that summarizes the distribution of returns for each firm $($Hint: this is an extended version of the "boom," "normal," and "recession" problem of slide $3$ in Modern Portfolio Theory$)(15$ points$)$

$\backslash$table$[[\backslash$table$[[$State of the$],[$Economy$]],$Probability,Chevron,$\backslash$table$[[$American$],[$Airlines$]],$ExxonMobil$],[$State $1,5\%,-8\mathrm{.}3\%,19\mathrm{.}4\%,-15\mathrm{.}0\%$