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 225: 46

Answer

$0.968$

Work Step by Step

First we find the probability that it is effective for all 12 people: $p=0.75^12=0.032$ The case that at least 1 person’s infection will not improve is the complement: $1-0.032=0.968$
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