You are considering investing in a project with the following possible outcomes:

State of the Economy Probability of State Occurring Investment Returns

Boom $30\%22\%$

Normal $60\%10\%$

Recession $10\%-8\%$

Calculate the expected rate of return and standard deviation of returns for this investment, respectively.

$13\mathrm{.}3\%,0\mathrm{.}72\%$

$13\mathrm{.}3\%,8\mathrm{.}51\%$

$11\mathrm{.}8\%,8\mathrm{.}51\%$

$11\mathrm{.}8\%,0\mathrm{.}72\%$