Express Expectation and Variance in other terms. Let $X \sim N(\mu,\sigma^2)$ and 
$$f_X(x) = \frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}.$$
where $-\infty < x < \infty$.
Express $\operatorname{E}(aX + b)$ and $\operatorname{Var}(aX +b)$ in terms of $\mu$, $\sigma$, $a$ and $b$, where $a$ and $b$ are real constants.
This is probably an easy question but I'm desperate at Probability! Any help is much appreciated as I'm not even sure where to start.

Not an answer:
Check out Wikipedia, and then learn them through comprehension and by heart.


*

*Normal Distribution (E, $\sigma$ included)

*What is Variance

*Important Properties of Variance

*Important Properties of Expected Value
