Textbook Problem

APPLICATION

Expected Number Consider families with three children, and assume that the probability of having a girl is $\frac{1}{2}$.

(a) Complete the table for the probabilities of having 0, 1, 2, or 3 girls in a family of three children.

(b) Find the expected number of girls in a family of three children.

Number of girls	Probability
$0$	$\frac{1}{8}$
$1$
$2$
$3$