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 317: 13.13b

Answer

P(Positive Test) = P(Cancer). P(Cancer|Positive test) + P(Cancer). P(Cancer|Negative test) = 0.063 x 0.21 + 0.937 x 0.06 = 0.0132 + 0.0562 = 0.0694

Work Step by Step

P(Positive Test) = P(Cancer). P(Cancer|Positive test) + P(Cancer). P(Cancer|Negative test) = 0.063 x 0.21 + 0.937 x 0.06 = 0.0132 + 0.0562 = 0.0694
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