Answer :
Sure, let's work through the information given in the problem step by step:
1. Identifying the number of children who disliked the smoothie:
According to the table, the number of children who disliked the smoothie is explicitly provided.
- The number of children who disliked the smoothie is: 9
2. Identifying the total number of children:
The table also provides the total number of children.
- The total number of children is: 27
3. Calculating the conditional relative frequency that a customer disliked the new smoothie, given that the person is a child:
The conditional relative frequency is calculated as the ratio of the number of children who disliked the smoothie to the total number of children.
- Number of children who disliked the smoothie: 9
- Total number of children: 27
- Formula for the conditional relative frequency:
[tex]\[ \text{Conditional Relative Frequency} = \frac{\text{Number of children who disliked the smoothie}}{\text{Total number of children}} \][/tex]
Substituting the values:
[tex]\[ \text{Conditional Relative Frequency} = \frac{9}{27} \][/tex]
Simplifying the fraction:
[tex]\[ \text{Conditional Relative Frequency} \approx 0.3333 \][/tex]
Hence, the completed statements are:
- The number of children who disliked the smoothie is: 9
- The total number of children is: 27
- The conditional relative frequency that a customer disliked the new smoothie, given that the person is a child is approximately: 0.3333 or 33.33%
1. Identifying the number of children who disliked the smoothie:
According to the table, the number of children who disliked the smoothie is explicitly provided.
- The number of children who disliked the smoothie is: 9
2. Identifying the total number of children:
The table also provides the total number of children.
- The total number of children is: 27
3. Calculating the conditional relative frequency that a customer disliked the new smoothie, given that the person is a child:
The conditional relative frequency is calculated as the ratio of the number of children who disliked the smoothie to the total number of children.
- Number of children who disliked the smoothie: 9
- Total number of children: 27
- Formula for the conditional relative frequency:
[tex]\[ \text{Conditional Relative Frequency} = \frac{\text{Number of children who disliked the smoothie}}{\text{Total number of children}} \][/tex]
Substituting the values:
[tex]\[ \text{Conditional Relative Frequency} = \frac{9}{27} \][/tex]
Simplifying the fraction:
[tex]\[ \text{Conditional Relative Frequency} \approx 0.3333 \][/tex]
Hence, the completed statements are:
- The number of children who disliked the smoothie is: 9
- The total number of children is: 27
- The conditional relative frequency that a customer disliked the new smoothie, given that the person is a child is approximately: 0.3333 or 33.33%
