A recent study has shown that $38$

$\%$ of women in a certain population suffer from anemia $($iron deficiency$).$ A random sample of $9$

women is taken from the population and tested.

What is the probability that:

$($a$)$ What is the probability that none of the women in the sample are anemic?

$($b$)$ Three or more are anemic?

$($c$)$ Find the expected number of anemic women in this sample.

$($d$)$ If X

is the random variable representing the number of anemic women in the sample, find Var$($X$)$

$.$