The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 13 - General Rules of Probability - Apply Your Knowledge - Page 309: 13.4b

Answer

P(A U B) = P(A) + P(B) - PA ∩ B) P(A ∩ B) = P(A) + P(B) - P(AUB) = 0.52 + 0.26 - 0.54 = 0.24 P(A ∩ B^{c}) = P(A) - PA ∩ B) = 0.52 - 0.24 = 0.28 P(B ∩ A^{c}) = P(B) - P(A ∩ B) = 0.26 - 0.24 = 0.02 P(neither A nor B) = 1 - P(AUB) = 1 - 0.54 = 0.46

Work Step by Step

As given above
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