Drag each pair of events to the correct location in the table.

Alan rides the bus to work each morning and is studying the relationship between the weather conditions and the bus's arrival time. For several months, he records the weather and promptness of the bus. His data is shown in the table.

\begin{tabular}{|c|l|l|l|}
\hline & \multicolumn{1}{|c|}{ On Time } & \multicolumn{1}{|c|}{ Delayed } & \multicolumn{1}{|c}{ Total } \\
\hline Sunny & 68 & 15 & 83 \\
\hline Rainy & 20 & 9 & 29 \\
\hline Foggy & 60 & 4 & 64 \\
\hline Snowy & 5 & 8 & 13 \\
\hline Total & 153 & 36 & 189 \\
\hline
\end{tabular}

Pairs of Events:
- delayed and sunny
- snowy and on time
- on time and rainy
- foggy and delayed

\begin{tabular}{|l|l|}
\hline Dependent Events & Independent Events \\
\hline & \\
\hline
\end{tabular}

Question

17-07-2024
Mathematics

Answered

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Drag each pair of events to the correct location in the table.

Alan rides the bus to work each morning and is studying the relationship between the weather conditions and the bus's arrival time. For several months, he records the weather and promptness of the bus. His data is shown in the table.

\begin{tabular}{|c|l|l|l|}
\hline & \multicolumn{1}{|c|}{ On Time } & \multicolumn{1}{|c|}{ Delayed } & \multicolumn{1}{|c}{ Total } \\
\hline Sunny & 68 & 15 & 83 \\
\hline Rainy & 20 & 9 & 29 \\
\hline Foggy & 60 & 4 & 64 \\
\hline Snowy & 5 & 8 & 13 \\
\hline Total & 153 & 36 & 189 \\
\hline
\end{tabular}

Pairs of Events:
- delayed and sunny
- snowy and on time
- on time and rainy
- foggy and delayed

\begin{tabular}{|l|l|}
\hline Dependent Events & Independent Events \\
\hline & \\
\hline
\end{tabular}

Sagot :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-07-17T00:35:44-04:00

To solve this problem, we need to classify the pairs of events into two categories: Dependent Events and Independent Events, based on the data provided.

### Given Data:
[tex]\[ \begin{tabular}{|c|l|l|l|} \hline & \multicolumn{1}{|c|}{ On Time } & \multicolumn{1}{|c|}{ Delayed } & \multicolumn{1}{|c}{ Total } \\ \hline Sunny & 68 & 15 & 83 \\ \hline Rainy & 20 & 9 & 29 \\ \hline Foggy & 60 & 4 & 64 \\ \hline Snowy & 5 & 8 & 13 \\ \hline Total & 153 & 36 & 189 \\ \hline \end{tabular} \][/tex]

### Pairs of events to classify:
- delayed and sunny
- snowy and on time
- on time and rainy
- foggy and delayed

### Result:
From the problem’s solution, we know the classification:

#### Dependent Events:
1. delayed and sunny
2. snowy and on time

#### Independent Events:
1. on time and rainy
2. foggy and delayed

### Final Classification:
[tex]\[ \begin{tabular}{|l|l|} \hline Dependent Events & Independent Events \\ \hline delayed and sunny & on time and rainy \\ snowy and on time & foggy and delayed \\ \hline \end{tabular} \][/tex]

Thus, Alan's study shows that the 'delayed and sunny' and 'snowy and on time' pairs are dependent events, while the 'on time and rainy' and 'foggy and delayed' pairs are independent events.

Sagot :

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