pls help plss sooonn $[5]$ Extra credit $(10$ points$)$ NBC News reported on May $2,2013,$ that $1$ in $20$

children $(0\mathrm{.}5)$ in the United States have a food allergy of some sort. Consider

selecting a random sample of $25$ children and let $x$ be the number in

the sample who have a food allergy. $($Hint: do these conditions satisfy

the requirements of a particular distribution?$)$

$($i$).$ What is the probability that exactly $2$ of the children have a food

allergy?

$($ii$).$ Find $E(x),$ and Var$(x)$