Elementary Statistics (12th Edition)

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

Chapter 5 - Discrete Probability Distributions - 5-3 Binomial Probability Distributions - Basic Skills and Concepts - Page 222: 43

Answer

0.662, about 66.2% of the shipments will be accepted and about 33.8% will be rejected.

Work Step by Step

P(accepted)$=P(X=0)+P(X=1)={40\choose 0} \cdot (0.03)^{0}\cdot (0.97)^{40}+{40\choose 1} \cdot (0.03)^{1}\cdot (0.97)^{39}=0.296+0.366=0.662$. About 66.2% of the shipments will be accepted and about 33.8% will be rejected.
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