To determine the probability of getting exactly 1 girl in 8 births, we utilize the provided table that lists the probability [tex]\( P(x) \)[/tex] for each possible value of the number of girls [tex]\( x \)[/tex] among 8 children.
The table indicates the following values:
[tex]\[
\begin{array}{c|c}
\hline
\text{Number of Girls} \, (x) & P(x) \\
\hline
0 & 0.004 \\
\hline
1 & 0.009 \\
\hline
2 & 0.105 \\
\hline
3 & 0.193 \\
\hline
4 & 0.378 \\
\hline
5 & 0.193 \\
\hline
6 & 0.105 \\
\hline
7 & 0.009 \\
\hline
8 & 0.004 \\
\hline
\end{array}
\][/tex]
We are interested in the probability of [tex]\( x = 1 \)[/tex].
From the table, when [tex]\( x = 1 \)[/tex], the probability [tex]\( P(x) \)[/tex] is:
[tex]\[
P(1) = 0.009
\][/tex]
Therefore, the probability of getting exactly 1 girl in 8 births is:
[tex]\[
0.009
\][/tex]
