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 $\mathrm{.}17\mathrm{.}358\mathrm{.}458\mathrm{.}338$

Good $\mathrm{.}43\mathrm{.}128\mathrm{.}108\mathrm{.}178$

Poor $\mathrm{.}33\mathrm{.}018\mathrm{.}028\mathrm{.}062$

Bust $\mathrm{.}07\mathrm{.}118\mathrm{.}258\mathrm{.}098$

a$.$ Your portfolio is invested $29$ percent each in A and C and $42$ 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$.$ What is the variance of this portfolio? $($Do not round intermediate calculations and round your answer to $5$ decimal places, e$.$g$.,32\mathrm{.}16161.)$

c$.$ What is the standard deviation of this portfolio?