Consider the following information:

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

Stock A Stock B

Recession $\mathrm{.}21\mathrm{.}09\mathrm{.}16$

Normal $\mathrm{.}51\mathrm{.}12\mathrm{.}13$

Boom $\mathrm{.}28\mathrm{.}17\mathrm{.}30$

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