If the economy booms, RTF$,$ Incorporated, stock is expected to return $12$ percent. If the economy goes into a recessionary period, then RTF is expected to only return $2$ percent. The probability of a boom is $78$ percent while the probability of a recession is $22$ percent. What is the variance of the returns on RTF$,$ Incorporated, stock?

Multiple Choice

$\mathrm{.}001338$

$\mathrm{.}049000$

$\mathrm{.}000961$

$\mathrm{.}001716$

$\mathrm{.}041425$