Cumulative Exam
Cumulative Exam
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02:49:53
A survey was taken of children between the ages of 3 and 7. Let $A$ be the event that the person has 2 siblings, and let $B$ be the event that the person does not have a pet.
\begin{tabular}{|c|c|c|c|c|c|}
\hline & \begin{tabular}{c}
0 \\
Siblings
\end{tabular} & \begin{tabular}{c}
1 \\
Sibling
\end{tabular} & \begin{tabular}{c}
2 \\
Siblings
\end{tabular} & \begin{tabular}{c}
3 or \\
More \\
Siblings
\end{tabular} & Total \\
\hline Has a Pet & 29 & 84 & 27 & 10 & 150 \\
\hline \begin{tabular}{c}
Does Not \\
Have a Pet
\end{tabular} & 31 & 45 & 18 & 6 & 100 \\
\hline Total & 60 & 129 & 45 & 16 & 250 \\
\hline
\end{tabular}

Which statement is true about whether $A$ and $B$ are independent events?
$A$ and $B$ are independent events because $P(A \mid B)$ $=P(A)=0.18$.
$A$ and $B$ are independent events because $P(A \mid B)$ $=P(A)=0.4$.
$A$ and $B$ are not independent events because $P(A \mid B)=0.4$ and $P(A)=0.18$.
$A$ and $B$ are not independent events because $P(A \mid B)=0.18$ and $P(A)=0.4$.