Sure, let's look at the information provided in the table step-by-step to find the joint relative frequency for mall visitors who like seafood and meat.
1. Identify the number of visitors who like both seafood and meat: - From the table, we see that the number of visitors who like both seafood and meat is 16.
2. Identify the total number of visitors: - The total number of visitors, as shown in the bottom-right cell of the table, is 72.
3. Calculate the joint relative frequency: - The joint relative frequency is the ratio of the number of visitors who like both seafood and meat to the total number of visitors. - So, we calculate this as: [tex]\[
\text{Joint Relative Frequency} = \frac{\text{Number of visitors who like seafood and meat}}{\text{Total number of visitors}} = \frac{16}{72}
\][/tex]
Therefore, the joint relative frequency for mall visitors who like seafood and meat is \(\frac{16}{72}\).
Among the given options: [tex]\[
\frac{5}{72}, \frac{16}{72}, \frac{20}{72}, \frac{31}{72}
\][/tex] the correct answer is: [tex]\[
\frac{16}{72}
\][/tex]
