Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 5 - Section 5.4 - Assess Your Understanding - Vocabulary and Skill Building - Page 292: 9

Answer

The events “earn more than $100,000 per year” and “earned a bachelor’s degree” are not independent.

Work Step by Step

$P(earn~more~than~100,000~dollars~per~year)=0,202$ $P(earn~more~than~100,000~dollars~per~year~|~earned~a~bachelor’s~degree)=0.412$ According to the definition, page 292, two events E and F are independent if P(E | F) = P(E). But, $P(earn~more~than~100,000~dollars~per~year~|~earned~a~bachelor’s~degree)\ne P(earn~more~than~100,000~dollars~per~year)$ The events “earn more than $100,000 per year” and “earned a bachelor’s degree” are not independent.
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