Please help me with this question and show the step-by-step explanation. Thank you very much!

Amelie considers investing in one stock and one bond. The following table lists the returns on the two assets in three different scenarios and the probability of each scenario occurring. Scenario Probability Stock Bond Recession 50% -5% 6% Normal 30% 10% 2% Boom 20% 20% 0% Amelie decided to form an equally-weighted portfolio by investing 50% of her wealth in the stock and 50% of her wealth in the bond. a) What is the expected return of Amelie's portfolio? b) What is the standard deviation of the returns to Amelie's portfolio