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 $\mathrm{.}15\mathrm{.}04\mathrm{.}17$

Normal $\mathrm{.}55\mathrm{.}09\mathrm{.}12$

Boom $\mathrm{.}30\mathrm{.}17\mathrm{.}27$

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