Let's work through the problem step by step.
We have four types of weather outcomes: Wind, Rain, Clouds, and Sunshine. Each type of weather has a predicted frequency for a 90-day period as follows:
- Wind: 9 times
- Rain: 18 times
- Clouds: 27 times
- Sunshine: 36 times
We need to simulate 90 spins of a spinner that lands on these weather outcomes weighted by their predicted frequencies. After simulating these 90 spins, we observe the actual number of times each weather outcome occurred.
The observed frequencies from the simulation are:
- Wind: 4 times
- Rain: 18 times
- Clouds: 31 times
- Sunshine: 37 times
Let's place these observed frequencies in our table:
[tex]\[
\begin{tabular}{|c|c|c|}
\hline
Result & Predicted Frequency & Observed Frequency \\
\hline
Wind & 9 & 4 \\
\hline
Rain & 18 & 18 \\
\hline
Clouds & 27 & 31 \\
\hline
Sunshine & 36 & 37 \\
\hline
Total & 90 & 90 \\
\hline
\end{tabular}
\][/tex]
From the observed frequencies:
- Wind occurred 4 times.
- Rain occurred 18 times.
- Clouds occurred 31 times.
- Sunshine occurred 37 times.
The weather type with the lowest observed frequency is Wind, with an observed frequency of 4.
Therefore, the type of weather with the lowest observed frequency is Wind.
