Consider the following scenario analysis involving asset A and asset B:

Economic Condition	Probability	Return on X	Return on Y
Boom	0.1	30%	12%
Accelerated Growth	0.2	20%	10%
Normal Growth	0.4	15%	9%
Slowdown	0.2	10%	8%
Recession	0.1	-50%	-4%

a).Compute the expected returns and the standard deviation of returns for both assets. Then compute the correlation coefficient between the returns on the two assets.

b) Find the expected return and the standard deviation of the minimum variance portfolio of A and B, when short-selling is allowed.