If the economy booms $,$ RTF$,$ Incorporated $,$ stock is expected to return $9$ percent $.$ If the economy goes into a recessionary period $,$ then RTF is expected to only return $3$ percent $.$ The probability of a boom is $69$ percent while the probability of a recession is $31$ percent $.$ What is the variance of the returns on RTF$,$ Incorporated $,$ stock $?$ Multiple Choice $\mathrm{.}000293\mathrm{.}035700\mathrm{.}027750$