Calculate the return and standard deviation for the following stock, in an economy with five possible states.

If a Boom (Probability=15%) economy occurs, then the expected return is 40%.

If a Good (Probability=25%) economy occurs, then the expected return is 20%.

If a Normal (Probability=30%) economy occurs, then the expected return is 12%.

If a Bad (Probability=20%) economy occurs, then the expected return is 0%.

If a Recession (Probability=10%) economy occurs, then the expected return is -15%.

Show your work please