Consider the following information:

Rate of Return If State Occurs

State of Probability of

Economy State of Economy Stock A Stock B Stock C

Boom $\mathrm{.}15\mathrm{.}31\mathrm{.}41\mathrm{.}21$

Good $\mathrm{.}60\mathrm{.}16\mathrm{.}12\mathrm{.}10$

Poor $\mathrm{.}20\mathrm{.}03\mathrm{.}06\mathrm{.}04$

Bust $\mathrm{.}05\mathrm{.}11\mathrm{.}16\mathrm{.}08$

a$.$ Your portfolio is invested $30$ percent each in A and C$,$ and $40$ percent in B$.$ What is the expected return of the portfolio? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$-1.$ What is the variance of this portfolio? $($Do not round intermediate calculations and round your answer to $5$ decimal places, e$.$g$.,\mathrm{.}32161.)$

b$-2.$ What is the standard deviation? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$