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} 0
Siblings

&

1

Sibling

&

2

Siblings

&

3 or

More

Siblings

& Total \\

\hline Has a Pet & 29 & 84 & 27 & 10 & 150 \\

\hline

Does Not

Have a Pet

& 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 $P(A)=0.4$.