You have been given the following information:

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

Stock A Stock B

Recession $\mathrm{.}22\mathrm{.}07\mathrm{.}22$

Normal $\mathrm{.}52\mathrm{.}10\mathrm{.}07$

Boom $\mathrm{.}26\mathrm{.}15\mathrm{.}24$

a$.$

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