To determine the joint relative frequency for the people who can only see the sunset, we need to follow these steps:
1. Understand the Table:
- The table categorizes data based on whether people can see the sunrise and/or the sunset.
- The rows and columns provide counts for people who can see the sunset and sunrise, respectively, and those who cannot.
2. Identify the Relevant Count:
- We are asked for the joint relative frequency of people who can only see the sunset.
- In the table, the count for people who can only see the sunset is found in the "Sunset" row under the "No Sunrise" column.
- This value is 7.
3. Calculate the Joint Relative Frequency:
- The joint relative frequency is calculated by dividing the count of people who can only see the sunset by the total number of respondents.
- From the table, the total number of respondents is 38.
Hence, the joint relative frequency is:
[tex]\[
\frac{\text{Number of people who can only see the sunset}}{\text{Total number of people surveyed}} = \frac{7}{38}
\][/tex]
4. Convert to Decimal (Optional):
- In this particular problem, we provide the relative frequency as a fraction, which is:
[tex]\[
\frac{7}{38}
\][/tex]
Thus, the joint relative frequency for the people who can only see the sunset is [tex]\(\frac{7}{38}\)[/tex].
When evaluated numerically, this fraction equals approximately [tex]\(0.18421052631578946\)[/tex], but [tex]\(\frac{7}{38}\)[/tex] is the exact joint relative frequency for the people who can only see the sunset.
