Answer
$P(at~least~3)=0.00244$
Work Step by Step
$P(fewer~than~3)=P(x\lt3)=P(0)+P(1)+P(2)=\frac{(0.261\times1)^0}{0!}e^{-0.261\times1}+\frac{(0.261\times1)^1}{1!}e^{-0.261\times1}+\frac{(0.261\times1)^2}{2!}e^{-0.261\times1}=\frac{1}{1}e^{-0.261}+\frac{0.261}{1}e^{-0.261}+\frac{0.068121}{2}e^{-0.261}=0.99756$
The probability that Florida will be hit by at least 3 major hurricanes is the complement of the probability that Florida will be hit by fewer than 3 major hurricanes.
Using the Complement Rule (see page 275):
$P(at~least~3)=P(x\geq3)=1-P(x\lt3)=1-0.99756=0.00244$
