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: 44

Answer

a. $0.966$ b. $0.034$ c. $0.108$

Work Step by Step

a. What is the probability that none have autism? $p=(\frac{87}{88})^3=0.966$ b. What is the probability that at least 1 has autism? This is the complement of (a): $1-0.966=0.034$ c. Choose 10 children at random, What is the probability that at least 1 has autism? First find the case of 0 has autism: $p=(\frac{87}{88})^10=0.892$ then the probability that at least 1 has autism is the complement: $1-0.892=0.108$
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