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 - Applying the Concepts - Page 293: 18c

Answer

No. Males are more likely to get 0 speeding tickets than females.

Work Step by Step

N(male) = 82 and N(male and no tickets) = 71. Using the Conditional Probability Rule (see page 288): $P(no~ticket~|~male)=\frac{N(male~and~no~ticket)}{N(male)}=\frac{71}{82}\approx0.868$ According to item (a): $P(no~ticket~|~female) \approx 0.843$. So, $P(no~ticket~|~male)\gt P(no~ticket~|~female)$ We conclude that males are more likely to get 0 speeding tickets than females.
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