Four applicants are interviewed for an administrative position with an environmental lobby. They have the following characteristics.
1. Psychology major, male, GPA 3.5
2. Chemistry major, female, GPA 3.3
3. Journalism major, female, GPA 3.7
4. Mathematics major, male, GPA 3.8
One of the candidates will be hired.
(a) Draw a Venn diagram and exhibit these events:
A = [A social science major is hired]
B = [The GPA of the selected candidate is higher than 3.6]
C = [A male candidate is hired]
(b) Give the composition of the events A U B and AB.