Elementary Statistics (12th Edition)

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

Chapter 5 - Discrete Probability Distributions - 5-5 Poisson Probability Distributions - Basic Skills and Concepts: 9

Answer

a)mean=6.54 b)0.9986 c)very unlikely.

Work Step by Step

a) Here, $mean=\frac{268}{41}=6.54.$ b)$P(X\geq1)=1-P(X=0)=1-\frac{6.54^0\cdot e^{-6.54}}{0!}=1-0.0014=0.9986.$ c)The probability of 0 earthquake is really low (you can see it in b)) theerefore it is very unlikely.
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