Consider the following information:

State of Economy Probability of State of Economy Rate of Return if State Occurs

Stock A Stock B Stock C

Boom $\mathrm{.}54\mathrm{.}12\mathrm{.}20\mathrm{.}38$

Bust $\mathrm{.}46\mathrm{.}14\mathrm{.}04\mathrm{.}07$

b$.$ What is the variance of a portfolio invested $18$ percent each in A and B and $64$ percent in C$?($Do not round intermediate calculations and round your answer to $6$ decimal places, e$.$g$.,\mathrm{.}161616.)$