Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Complete parts (a) through (d) below.

The table describes results from groups of 8 births from 8 different sets of parents. The random variable [tex]\( x \)[/tex] represents the number of girls among 8 children.

Click the icon to view the table.

a. Find the probability of getting exactly 1 girl in 8 births.

[tex]\(\square\)[/tex] (Type an integer or a decimal. Do not round.)

[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]

Sagot :

GinnyAnswer
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]
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.