To solve the problem of finding the joint relative frequency for the people who can only see the sunset, let's follow these detailed steps:
1. Identify Total Number of Surveyed People:
From the two-way frequency table, sum the values in the 'Total' column to find the total number of people who participated in the survey.
[tex]\[
\text{Total number of people} = 38
\][/tex]
2. Determine the Number of People Who Can Only See the Sunset:
The category we are interested in is "only see the sunset." This is identified in the table under "Sunset" and "No Sunrise."
[tex]\[
\text{Number of people who can only see the sunset} = 7
\][/tex]
3. Calculate the Joint Relative Frequency:
The joint relative frequency is the ratio of the people who can only see the sunset to the total number of people surveyed.
[tex]\[
\text{Joint relative frequency} = \frac{\text{Number of people who can only see the sunset}}{\text{Total number of people}} = \frac{7}{38}
\][/tex]
Thus, the joint relative frequency for the people who can only see the sunset is:
[tex]\[
\frac{7}{38}
\][/tex]
Therefore, the correct answer is [tex]\(\frac{7}{38}\)[/tex].
