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: 32

Answer

a)0.43 b)0.383 c)0.813 d)It is not an unusually high probability.

Work Step by Step

a) $P(X=8)={8\choose 8} \cdot (0.9)^8\cdot (0.1)^0=0.43.$ b)$P(X=7)={8\choose 7} \cdot (0.9)^7\cdot (0.1)^1=0.383.$ c)$P(X\geq7)=P(X=7)+P(X=8)={8\choose 7} \cdot (0.9)^7\cdot (0.1)^1+{8\choose 8} \cdot (0.9)^8\cdot (0.1)^0=0.383+0.43=0.813$ d) No, it is not an unusually high probability, because 0.813 is really high, more than 0.05.
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