Barbara is considering investing in a stock and is aware that the return on that investment is particularly sensitive to how the economy is performing. Her analysis suggests that four states of the economy can affect the return on the investment. Using the table of returns and probabilities below, find the expected return of her investment, and the standard deviation of the return on Barbara's investment

Probability / Return

Boom 0.1 / 25.00%

Good 0.2 / 15.00%

Level 0.1 / 10.00%

Slump 0.6 / -5.00%

Please show work, thanks.