Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 6 - Section 6.3 - Assess Your Understanding - Applying the Concepts - Page 351: 17d

Answer

$P(at~least~2)=0.0287$

Work Step by Step

$P(fewer~than~2)=P(x\lt2)=P(0)+P(1)=\frac{(0.261\times1)^0}{0!}e^{-0.261\times1}+\frac{(0.261\times1)^1}{1!}e^{-0.261\times1}=\frac{1}{1}e^{-0.261}+\frac{0.261}{1}e^{-0.261}=0.9713$ The probability that Florida will be hit by at least 2 major hurricanes is the complement of the probability that Florida will be hit by fewer than 2 major hurricanes. Using the Complement Rule (see page 275): $P(at~least~2)=P(x\geq2)=1-P(x\lt2)=1-0.9713=0.0287$
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