There are two assets and three states of the economy:

State of Economy

Probability of State of Economy

Rate of Return If State Occurs

Stock A

Stock B

Recession

$\mathrm{.}30$

$-\mathrm{.}20$

$\mathrm{.}10$

Normal

$\mathrm{.}50$

$\mathrm{.}40$

$\mathrm{.}30$

Boom

$\mathrm{.}20$

$\mathrm{.}80$

$\mathrm{.}50$

Suppose you have $$20,000$ total. If you put $$15,000$ in Stock A and the remainder in Stock B$,$ what will be the standard deviation of your portfolio? $($Keep $2$ post decimal digits in your final answer$)$There are two assets and three states of the economy:

$\backslash$table$[[$State of Economy,$\backslash$table$[[$Probability of State of$],[$Economy$]],$Rate of Return If State Occurs$],[$Stock A$,$Stock B$],[$Recession$,30,-\mathrm{.}20,\mathrm{.}30],[$Normal$,50,\mathrm{.}40,\mathrm{.}50],[$Boom$,20,\mathrm{.}80,]]$