$1.)$Please consider the following table:

State of Economy Probability of State Return

Boom $30\%15\%$

Good $30\%10\%$

Poor $20\%5\%$

Bust $20\%-5\%$

If DEF Corp.$$s expected performances based on various scenarios are as above, then what$$s DEF Corp.$$s expected return?

$7\mathrm{.}50\%$

$8\mathrm{.}12\%$

$6\mathrm{.}53\%$

$9\mathrm{.}00\%$

$2.)$Same facts as above: what$$s the volatility of DEF Corp.$$s return as measured by Standard Deviation?

$7\mathrm{.}50\%$

$0\mathrm{.}51\%$

$7\mathrm{.}16\%$

$6\mathrm{.}48\%$