To find the probability that a person spends their time going to the movies given that they are 31–35 years old, we would need two pieces of information from the survey data:
- The number of people in the age group of 31–35 years who go to the movies.
- The total number of people in the age group of 31–35 years.
If you provide the data or the summarized counts from the survey, I can help you calculate the probability.
The formula for conditional probability is:
\[ P(A|B) = \frac{P(A \cap B)}{P(B)} \]
In this context:
- \(A\) is the event of going to the movies.
- \(B\) is the event of being 31–35 years old.
Thus,
\[ P(\text{Going to movies | Age 31-35}) = \frac{\text{Number of 31-35 year olds who go to the movies}}{\text{Total number of 31-35 year olds}} \]
Once we have the values, we can compute the probability and then express it as a percentage. Please provide the relevant data for the calculation.