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The random variables X and Y are independent. The expected value of X is 1 and that of Y is 2. The variance of X
The random variables X and Y are independent. The expected value of X is 1 and that of Y is 2. The variance of X is 3 and that of Y is 5, respectively.
What is:
- E(X + Y)
- E(X - Y)
- E(2X - Y + 1)
- E(3XY + 2)
- Var(X + Y)
- Var(X - Y)
- Var(2X - Y +1)
- Var(3XY + 2)
How would the results change, if X and Y correlated so, that Cov(X,Y) = -2 ?
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