Answer
P(G_{1}|D) = P(G_{1}∩D) / P(D)
Multiplying and dividing by P(G_{1})
= P(G_{1}∩D).P(G_{1}) / P(D).P(G_{1})
= 0.5 P(G_{1}) / P(D) ( Given P(G_{1}∩D) / P(G_{1}) = 0.5)
= 0.5 x 0.2 / 0.34
= 0.294
Work Step by Step
As given in answer
Statistics (12th Edition)
by McClave, James T.; Sincich, Terry T.
Published by
Pearson
ISBN 10:
0321755936
ISBN 13:
978-0-32175-593-3
Chapter 3 - Probability - Exercises 3.138 - 3.153 - Applying the Concepts - Basic - Page 167: 3.144a
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