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: 44

Answer

0.978, about 97.8% of the shipments will be accepted and about 2.2% will be rejected.

Work Step by Step

$P(accepted)=P(X=0)+P(X=1)+P(X=2)={30 \choose 0}⋅(0.98)^{30}⋅(0.02)^0+{30 \choose 1}⋅(0.98)^{29}⋅(0.02)^1+{30 \choose 2}⋅(0.98)^{28}⋅(0.02)^2=0.545+0.334+0.099=0.978$. About 97.8% of the shipments will be accepted and about 2.2% will be rejected.
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