IIT M Written : Probability

Question

An experiment is performed $n$ times, in each of which an event $X$ may occur with a probability $p$. Determine$ E[ \overline{X}]$ and $Var( \overline{X})$, where $\overline{X} $is the complement of the event $X$

Comments

I think , 'X' should be random variable here , not an event because expectation and variance are defined for random variables...

if X is a random variable then E(X') = n*(1-p) and var(X') = n*(1-p)*p