1) We have to find the probability of randomly selecting a student that is male, who does not participate in extracurricular activities and drive to school.
We know that 53% of the students are female. Then, 100-53 = 47% of the students are male.
We can try to draw a Venn's diagram to classify the groups with the information we have:
As 60% of the students participate in extracurricular activities and 33% of the students are females that participate in extracurricular activities, then 60-33 = 27% of the students are males that participate in extracurriclar activites.
37% of the students drive to school and 15% are female students that drive to work. This tell us that 37-15 = 22% of the students are males that drive to work.
11% of the students participate in extracurricular activities and are drivers. 6% of the students are females that participate in extracurricular activities and are drivers. Then, 11-6 = 5% of the students are males that partipate in extracurricular activities and are drivers.
We can now draw a Venn's diagram for male students (for a base of 47 male students) as:
We now can estimate the probabiltiy of randomly selecting a male student that does not participate in extracurricular activities and drive to school. This correspond to the group shaded in green: male drivers that don't participate in extracurricular activities.
This group represents 17 students out of 100, so the probability of randomly selecting a male student that does not participate in extracurricular activities and drive to school is 17%.
Answer: 17%