Use the below information for questions 2a - 2b:

State Probability Return on A Return on B Return on C

Boom 0.30 0.35 0.25 0.10

Average 0.50 0.20 0.15 0.25

Bust 0.20 0.05 0.10 0.35

2a. Find the Mean and Variance of Asset A

2b. Find the Correlation coefficient of A and C