Question: 7. Given a sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9} and four events A,B,C, and D in S that

7. Given a sample space S = {1, 2, 3, 4, 5, 6, 7, 8, 9} and four events A,B,C, and D in S that are defined as A = {1, 3, 4, 7}, B = {2, 4, 6, 8, 9}, C = {1, 4, 5, 7}, and D =

{1, 3, 5, 7, 9}, describe the following events:

(a) A ∩ B ∩ C,

(b) (A ∩ B) ∪ (C ∩ D),

(c) A ∩ (B ∪ C ∪ D),

(d) ¯ A ∩ ¯B , (e)

(A ∪ B ∪ C ∪ D), and

(f) ( ¯ A ∩ ¯B∩ ¯ C ∩ ¯D)

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