1) Let X and Y be independent random variables with μX = 2, σX = 2, μY = 2, and σY = 3. Find the mean and variance of 3X.
The mean of 3X is
The variance of 3X is
2)
Let X and Y be independent random variables with μX = 2, σX = 2, μY = 2, and σY = 3. Find the mean and variance of X + Y.
The mean of X + Y is
The variance of X + Y is
3)
Let X and Y be independent random variables with μX = 2, σX = 2, μY = 2, and σY = 3. Find the mean and variance of X – Y.
The mean of X - Y is
The variance of X - Y is