Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 3 - Probability - Supplementary Exercises 3.154 - 3.199 - Applying the Concepts - Intermediate - Page 172: 3.176h

Answer

Here, Event A = Player is white, and Event B = Player is a center. As $P(A|B) \ne P(A)$, the following two events are dependent events.

Work Step by Step

Two events are called independent if P( Event A | Event B) =P( Event A) and P( Event B | Event A) =P( Event B) Here Event A = Player is white, Event B = Player is a center. Proof: 1. $$P(A | B) = \frac{P(A∩B)}{P(B)}$$ $P(A | B) = \frac{28}{368} \div \frac{62}{368}$ $P(A | B) = \frac{28}{62}$ $P(A | B) = 45.1613$% $P(A) = \frac{84}{368}$ $P(A) = 22.8261$% As $P(A|B) \ne P(A)$, the following two events are dependent events.
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