To solve the problem of determining the empirical probability that a person who watched videos was a student watching reveals, follow these steps:
1. Identify the total number of users who watched any type of videos: The problem states that this value is 290.
2. Identify the number of students who watched reveals: From the provided table, 14 students watched reveals.
3. Calculate the empirical probability: The empirical probability is found by dividing the number of specific occurrences (students watching reveals) by the total number of users.
The mathematical expression for this is:
[tex]\[ \text{Empirical Probability} = \frac{\text{Number of students watching reveals}}{\text{Total number of users}} \][/tex]
[tex]\[ \text{Empirical Probability} = \frac{14}{290} \][/tex]
4. Interpreting the Probability: Evaluating the fraction gives us the empirical probability:
[tex]\[ \frac{14}{290} \approx 0.048 \][/tex]
Given the choice options:
- 0.200
- 0.182
- 0.048
- 0.014
The correct empirical probability is approximately 0.048. Hence, the answer to the question is:
[tex]\[ \boxed{0.048} \][/tex]
