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 $\mathrm{.}15\mathrm{.}40\mathrm{.}50\mathrm{.}30$

Good $\mathrm{.}60\mathrm{.}16\mathrm{.}10\mathrm{.}09$

Poor $\mathrm{.}20\mathrm{.}02\mathrm{.}05\mathrm{.}03$

Bust $\mathrm{.}05\mathrm{.}18\mathrm{.}25\mathrm{.}11$

a$.$ Your portfolio is invested $25$ percent each in A and C$,$ and $50$ 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$.,32\mathrm{.}16.)$