Sure, let's analyze the data step-by-step and draw the necessary conclusions.
1. Given a person who has eaten snack A before, the probability that they prefer snack B:
- The number of people who have eaten snack A before and prefer snack B is [tex]\( 92 \)[/tex].
- The total number of people who have eaten snack A before is [tex]\( 236 \)[/tex].
- The probability is calculated as:
[tex]\[
\text{Probability} = \frac{92}{236} \approx 0.38983
\][/tex]
- Converting this probability to a percentage:
[tex]\[
0.38983 \times 100 \approx 38.98\%
\][/tex]
- Thus, "Given a person who has eaten snack A before, the customer will change to snack B 38.98% of the time.
2. Given a person who has not eaten snack A before, the probability that they prefer snack A:
- The number of people who have not eaten snack A before and prefer snack A is [tex]\( 108 \)[/tex].
- The total number of people who have not eaten snack A before is [tex]\( 336 \)[/tex].
- The probability is calculated as:
[tex]\[
\text{Probability} = \frac{108}{336} \approx 0.32143
\][/tex]
- Converting this probability to a percentage:
[tex]\[
0.32143 \times 100 \approx 32.14\%
\][/tex]
- Thus, "Given a person who has not eaten snack A before, the customer will want to eat snack A" 32.14% of the time.
Based on the above calculations, we complete the conclusions as follows:
Complete the conclusions based on the data in the table.
1. Given a person who has eaten snack A before, the customer will change to snack B 38.98%.
2. Given a person who has not eaten snack A before, the customer will want to eat snack A.
