State Probability X Y

Boom 0.25 15% 10%

Normal 0.60 10% 9%

Recession 0.15 5% 10%

1. Calculate the expected return and the standard deviation for X and Y.
2. What is the expected return and the standard deviation for a portfolio with an investment of $5,500 in asset X and $4,500 in asset y? Calculate portfolio weights, Wx and Wy first.

Please show step by step calculations and thoroughly explain, I need to be able to understand the process of how the answer was obtained.