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 - Chapter 13 Exercises - Page 324: 13.52a

Answer

Let lactose Tolerance = L, White = W, Black = B & Asian = A. From the given data we have: P(L|W) = 0.15 P(L|B) = 0.7 P(L|A) = 0.9 P(L) = P(L∩W) + P(L∩B) + P(L∩A) = P(L|W)P(W) + P(L|B)P(B) + P(L|A)P(A) = (0.15 x 0.82) + (0.7 x 0.14) + (0.9 x 0.04) = 0.257

Work Step by Step

Let lactose Tolerance = L, White = W, Black = B & Asian = A. From the given data we have: P(L|W) = 0.15 P(L|B) = 0.7 P(L|A) = 0.9 P(L) = P(L∩W) + P(L∩B) + P(L∩A) = P(L|W)P(W) + P(L|B)P(B) + P(L|A)P(A) = (0.15 x 0.82) + (0.7 x 0.14) + (0.9 x 0.04) = 0.257
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