Question

If X is a random variable, what would the VARIANCE of Y be if Y=X+2

Answer 1

If Y = X + 2, then the variance of Y can be calculated as follows:

Var(Y) = Var(X + 2)

Since Var(aX) = a^2Var(X), for any constant 'a', we can rewrite the above equation as:

Var(Y) = Var(X)

Therefore, the variance of Y would be equal to the variance of X.