In a survey, 120 people are asked how they like to spend their free time. Their responses are recorded on the table based on their age. What is the probability that a person spends their time going to the movies, given that they are 31–35 years old? Express your answer as a percentage, rounded to the nearest whole number.

1 answer

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:

  1. The number of people in the age group of 31–35 years who go to the movies.
  2. 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.