Consider a family with a mother, father, and two children. Let A1 = {mother has influenza}, A2 = {father has influenza}, A3 = {first child has influenza}, A4 = {second child has influenza}, B = {at...

Consider a family with a mother, father, and two children. Let A1 = {mother has

influenza}, A2 = {father has influenza}, A3 = {first child has influenza}, A4 = {second

child has influenza}, B = {at least one child has influenza}, C = {at least one parent

has influenza}, and D = {at least one person in the family has influenza}.
1 What does A1 ∪ A2 mean?

2 What does A1 ∩ A2 mean?

3 Are A3 and A4 mutually exclusive?

4 What does A3 ∪ B mean?

5 What does A3 ∩ B mean?

6 Express C in terms of A1, A2, A3, and A4.

7 Express D in terms of B and C.

8 What does ?̅
1 mean?

9 What does ?̅
2 mean?