1) Let X and Y be independent random variables with X = 2, X = 2, Y...

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 μ_X = 2, σ_X = 2, μ_Y = 2, and σ_Y = 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 μ_X = 2, σ_X = 2, μ_Y = 2, and σ_Y = 3. Find the mean and variance of X – Y.

The mean of X - Y is

The variance of X - Y is