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 $\mathrm{.}20\mathrm{.}05\mathrm{.}20$

Normal $\mathrm{.}57\mathrm{.}08\mathrm{.}09$

Boom $\mathrm{.}23\mathrm{.}13\mathrm{.}26$

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