(b) Use the table to find P(A ∪ B). Give a long-run relative frequency interpretation of this pr

Given that A is event that gas is pre -purchased, pre -purchased, and B is event that a GPS is r

In this problem, we are given that there are two events, A and B, such that the probability of t

In this problem, we are given that there are two events A and B and these two are mutually exclu

All right. So the question here says that an experiment can result in one or both of the event.

Question

(b) Use the table to find \( P(A \cup B) \). Give a long-run relative frequency interpretation of this probability. In part (a) we created the following table. \begin{tabular}{|c|c|r|r|} \hline & \multicolumn{1}{|c|}{\( \boldsymbol{A} \)} & Not \( \boldsymbol{A} \) & Total \\ \hline \( \boldsymbol{B} \) & 60 & 140 & 200 \\ \hline Not \( \boldsymbol{B} \) & 240 & 560 & 800 \\ \hline Total & 300 & 700 & 1,000 \\ \hline \end{tabular} Use the table to find \( P(A \cup B) \). \[ \begin{aligned} P(A \cup B) & =\frac{\text { number who purchase both }+ \text { number who only purchase gas }+ \text { number who only purchase GPS }}{\text { total number of renters in the table }} \\ & =\square \end{aligned} \] Therefore, in the long run, we expect that \( \square \) \% of car renters will pre-purchase gas or rent a GPS or \( \square \) both Enter an exact number. SUBMIT SKIP (YOU CANNOT COME BACK) SUBMIT ANSWER

          (b) Use the table to find \( P(A \cup B) \). Give a long-run relative frequency interpretation of this probability.

In part (a) we created the following table.
\begin{tabular}{|c|c|r|r|}
\hline & \multicolumn{1}{|c|}{\( \boldsymbol{A} \)} & Not \( \boldsymbol{A} \) & Total \\
\hline \( \boldsymbol{B} \) & 60 & 140 & 200 \\
\hline Not \( \boldsymbol{B} \) & 240 & 560 & 800 \\
\hline Total & 300 & 700 & 1,000 \\
\hline
\end{tabular}

Use the table to find \( P(A \cup B) \).
\[
\begin{aligned}
P(A \cup B) & =\frac{\text { number who purchase both }+ \text { number who only purchase gas }+ \text { number who only purchase GPS }}{\text { total number of renters in the table }} \\
& =\square
\end{aligned}
\]

Therefore, in the long run, we expect that \( \square \) \% of car renters will pre-purchase gas or rent a GPS or \( \square \) both
Enter an exact number.
SUBMIT
SKIP (YOU CANNOT COME BACK)
SUBMIT ANSWER

(b) Use the table to find P(A ∪ B). Give a long-run relative frequency interpretation of this probability.

In part (a) we created the following table.

1|c|A Not A Total

B 60 140 200

Not B 240 560 800

Total 300 700 1,000

Use the table to find P(A ∪ B).

P(A ∪ B) =( number who purchase both + number who only purchase gas + number who only purchase GPS )/( total number of renters in the table )
=□

Therefore, in the long run, we expect that □ % of car renters will pre-purchase gas or rent a GPS or □ both
Enter an exact number.
SUBMIT
SKIP (YOU CANNOT COME BACK)
SUBMIT ANSWER

Added by Joel W.

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