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 $\mathrm{.}20\mathrm{.}35\mathrm{.}45\mathrm{.}25$

Good $\mathrm{.}45\mathrm{.}20\mathrm{.}16\mathrm{.}09$

Poor $\mathrm{.}25\mathrm{.}02\mathrm{.}05\mathrm{.}03$

Bust $\mathrm{.}10\mathrm{.}16\mathrm{.}20\mathrm{.}12$

a$.$

Your portfolio is invested $24$ percent each in A and C$,$ and $52$ 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$.,32\mathrm{.}16.)$