Question

\[V(x)=E(x^{2})-\mu^{2}\] then wat is V(-ax) in simplified form as i given for before.

Answer 1

the -a gets pulled out and squared

Answer 2

\[V(-aX)=(-a)^2V(X)=a^2V(X)\]

Answer 3

it is easyier to see if write is as

\[V(X)=E(X^2)-(E(X))^2\]

and use the fact that the expected value is a linear opperator

\[E(aX+b)=aE(X)+b\]