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 295: 39b

Answer

$P(both~chips~are~defective)=\frac{1}{40,000}=0.000025$ The result, assuming independence, ($0.000025$) is very close to the exact result ($0.00002450$)

Work Step by Step

Assuming independence: $P(first~chip~is~defective)=P(second~chip~is~defective)=\frac{1}{200}$ Using the Multiplication Rule for Independent Events (page 282): $P(both~chips~are~defective)=P(first~chip~is~defective)\times P(second~chip~is~defective)=\frac{1}{200}\times\frac{1}{200}=\frac{1}{40,000}=0.000025$ The result, assuming independence, ($0.000025$) is very close to the exact result ($0.00002450$)
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