Returns and standard deviations: Consider the following:

State of economy	Probability of state economy	Rate of Return if state occurs Stock A	Rate of Return if state occurs Stock B	Rate of Return if state occurs Stock C
Recession	.20	.30	.45	.33
Good	.40	.12	.10	.15
Poor	.30	.01	-.15	-.05
Bust	.10	-.20	-.30	-.09

1. Your portfolio is invested 40 percent each in A and C and 20 percent in B. what is the expected rate of return of the portfolio?
2. What is the variance of this portfolio? The standard Deviation?