Consider the following information:

State of Economy Probability of State of Economy Rate of Return if State Occurs

Stock A Stock B

Recession $\mathrm{.}17\mathrm{.}05\mathrm{.}21$

Normal $\mathrm{.}62\mathrm{.}09\mathrm{.}08$

Boom $\mathrm{.}21\mathrm{.}16\mathrm{.}25$

a$.$

Calculate the expected return for Stocks A and B$.($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Calculate the standard deviation for Stocks A and B$.($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$