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 $\mathrm{.}15\mathrm{.}35\mathrm{.}45\mathrm{.}25$

Good $\mathrm{.}60\mathrm{.}19\mathrm{.}16\mathrm{.}10$

Poor $\mathrm{.}20\mathrm{.}03\mathrm{.}06\mathrm{.}05$

Bust $\mathrm{.}05\mathrm{.}13\mathrm{.}31\mathrm{.}08$

a$.$

Your portfolio is invested $28$ percent each in A and C$,$ and $44$ 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$.,\mathrm{.}16161.)$

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$.,32\mathrm{.}16.)$