Consider the following information:

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

Stock A Stock B

Recession $\mathrm{.}16\mathrm{.}07\mathrm{.}11$

Normal $\mathrm{.}57\mathrm{.}10\mathrm{.}18$

Boom $\mathrm{.}27\mathrm{.}15\mathrm{.}35$

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