Answer :
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]
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]
