Consider the following information:

Rate of Return If State Occurs

State of Probability of

Economy State of Economy Stock A Stock B

Recession $\mathrm{.}15\mathrm{.}06\mathrm{.}10$

Normal $\mathrm{.}56\mathrm{.}09\mathrm{.}19$

Boom $\mathrm{.}29\mathrm{.}14\mathrm{.}36$

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