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 313: 13.10

Answer

Let Event A = Teenagers online P(A) = 0.95 Let Event B = Online teens using social media P(B|A) = 0.81 Let Event C = Posted P(C|Both A & B) = 0.91 $P(A∩B∩C) = P(A).P(B|A).P(C|Both A and B)\\ = 0.95 x 0.81 x 0.91\\ = 0.70$

Work Step by Step

Let Event A = Teenagers online P(A) = 0.95 Let Event B = Online teens using social media P(B|A) = 0.81 Let Event C = Posted P(C|Both A & B) = 0.91 $P(A∩B∩C) = P(A).P(B|A).P(C|Both A and B)\\ = 0.95 x 0.81 x 0.91\\ = 0.70$
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