Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 4 - Probability and Counting Rules - 4-3 The Multiplication Rules and Conditional Probability - Exercises 4-3 - Page 223: 11


a. $0.0027$ b. $0.636$ c. $0.757$

Work Step by Step

a. None of the 3 households had cable TV $p=(1-0.86)\times(1-0.86)\times(1-0.86)=0.0027$ b. All 3 households had cable TV $p=(0.86)\times(0.86)\times(0.86)=0.636$ c. At least 1 of the 3 households had cable TV One: $p=(0.86)\times(1-0.86)\times(1-0.86)=0.017$ Two: $p=(0.86)\times(0.86)\times(1-0.86)=0.104$ Three: $p=(0.86)\times(0.86)\times(0.86)=0.636$ Total $p=0.017+0.104+0.636=0.757$
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