Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 4 - Probability - 4-4 Multiplication Rule: Basics - Basic Skills and Concepts: 28

Answer

a)0.94 b)0.085

Work Step by Step

a) We know that $probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$, hence $probability=\frac{1021-61}{1021}=0.94.$ b)Two events are dependent, if the outcome of one effects the outcome of the other. Here the events are independent, because the sampling was done with replacement, also $probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$, hence $probability=\left (\frac{1021-61}{1021}\right )^{40}=0.085.$
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