Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 4 - Section 4.3 - Marginal Probability, Conditional Probability, and Related Probability Concepts - Exercises - Page 149: 4.38

Answer

P(female)=$\frac{65}{142}$ =0.46 P(female | participating in their first 5k road race)=$\frac{19}{47}$ = 0.40 P(female)$\ne$P(female | participating in their first 5k road race), therefore they are dependent. P(female ∩ participating in their first 5k road race) $\ne$ 0, therefore they are not mutually exclusive.

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