[Solution Library] Denote by X and Y the (random) returns from projects 1 and 2, respectively, and let X and Y be jointly normally distributed: X is normally distributed
Question: Denote by X and Y the (random) returns from projects 1 and 2, respectively, and let X and Y be jointly normally distributed: X is normally distributed with mean 1 and standard deviation 1 , Y is normally distributed with mean 2 and standard deviation 2 , and Cor(X,Y)=. Consider the return from a joint project a 1 X + a 2 Y , when the amount a 1 is invested in project 1 and the amount a 2 is invested in project 2.
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What is the distribution of
a
1
X
+
a
2
Y
?
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