To find the probability that a person spends their time going to the movie, given that they are 31-35 years old, we need to use the conditional probability formula:
P(Going to the movie | 31-35 years old) = P(Going to the movie and 31-35 years old) / P(31-35 years old)
From the table, we can see that the probability of a person being 31-35 years old is 18% and the probability of a person going to the movie while being 31-35 years old is 34%.
Therefore:
P(Going to the movie | 31-35 years old) = 0.34 / 0.18 = 1.89
Multiplying by 100 and rounding to the nearest whole number, we get:
P(Going to the movie | 31-35 years old) ≈ 189%
So, the probability that a person spends their time going to the movie, given that they are 31-35 years old, is approximately 189%.
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 movie, given that they are 31-35 years old? Express your answer as a percentage, rounded to the nearest whole number.
(1 point)
Responses
18%
18%
21%
21%
42%
42%
34%
1 answer