Stats Problem about Expectations of Random Variables

[hjqusai]

Homework Statement

Let X have mean u and variance s^2. Find the mean and the variance of Y=[(X-u)/s]

Homework Equations

The Mean is linear

The Attempt at a Solution

I thought to just plug in the mean of X anywhere i saw it in Y so mean of Y would be 0
and then for the variance I was kind of lost... Any suggestions?

 

[statdad]

Remember

$$\begin{align*}<br /> E(aY+b) &= aE(Y)+ b\\<br /> Var(aY) & = a^2 Var(Y)<br /> \end{align*}$$

 

[hjqusai]

Didn't know that second formula. Thanks for your help!