Finish the proof of Theorem 1.1.4. For any events A, B, and C defined on a sample

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Finish the proof of Theorem 1.1.4. For any events A, B, and C defined on a sample space S, show that
(a) A ∪ B = B ∪ A and A ∩ B = B ∩ A. (commutativity)
(b) A ∪ (B ∪ C) - (A ∪ B) ∪ C and A ∩ (B ∩ C) ={A∩ B) ∩ C. (associativity)
(c) (A ∪ B)c = Ac ∩ Bc and (A ∩ B)c = Ac ∪ Bc. (DeMorgan's Laws)
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Statistical Inference

ISBN: 978-0534243128

2nd edition

Authors: George Casella, Roger L. Berger

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