If the economy booms, RTF$,$ Incorporated, stock is expected to return $13$ percent. If the economy goes into a recessionary period, then RTF is expected to only return $5$ percent. The probability of a boom is $83$ percent while the probability of a recession is $17$ percent. What is the variance of the returns on RTF$,$ Incorporated, stock?

Multiple Choice

$\mathrm{.}000903$

$\mathrm{.}000596$

$\mathrm{.}030051$

$\mathrm{.}058200$

$\mathrm{.}000750$