Danny has invested $$10,000$ in his portfolio of three stocks with $$3,000$ in stock $A$;$$4,000$ in stock $B$; and remaining $$3,000$ in stock $C.$ Given the following probability distribution, calculate the expected return on the portfolio and the standard deviation of this portfolio.

Rate of Return in each

State

$\backslash$table$[[\backslash$table$[[$State of$],[$Economy$]],$Probability,$\backslash$table$[[$Stock A Stock B Stock C$],[(\%)]],\backslash$table$[[(\%)]],(\%)],[$Boom$,14\%,18\mathrm{.}4,11\mathrm{.}4,26\mathrm{.}1],[,,,,],[$Normal$,73\%,9\mathrm{.}6,7\mathrm{.}9,17\mathrm{.}6],[,,,,],[$Recession$,13\%,3\mathrm{.}8,4\mathrm{.}6,-28\mathrm{.}7]]$