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

Stock A Stock B Stock C

Boom $0\mathrm{.}400\mathrm{.}180\mathrm{.}400\mathrm{.}29$

Good $0\mathrm{.}250\mathrm{.}150\mathrm{.}220\mathrm{.}11$

Poor $0\mathrm{.}300\mathrm{.}010\mathrm{.}090\mathrm{.}06$

Bust $0\mathrm{.}050\mathrm{.}070\mathrm{.}240\mathrm{.}09$

a$.$ Your portfolio is invested $20$ percent each in Stocks A and C and $60$ percent in Stock B$.$ What is the expected return of the portfolio?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.

b$-1.$ What is the variance of this portfolio?

Note: Do not round intermediate calculations. Round your answer to $5$ decimal places.

b$-2.$ What is the standard deviation?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.