SOLUTION: For the past 107 ​years, a certain state suffered 28 direct hits from major​ (category 3 to​ 5) hurricanes. What is the probability that the state will not be h

Algebra.Com
Question 1127123: For the past 107 ​years, a certain state suffered 28 direct hits from major​ (category 3 to​ 5) hurricanes.
What is the probability that the state will not be hit by a single hurricane?
What is the probability that the state will be hit by at least one major hurricane in a single​ year?
Can you explain to me the steps to figuring this out ??

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
(a)
What is the probability that the state will not be hit by any major hurricanes in a single& year?
Solution:
Given Poisson distribution, assuming historical trends up to the last century still apply today.
Mean number of direct hits per year,







=

=

=

=


(b) What is the probability that the state will be hit by at least one major hurricane in a single year?










RELATED QUESTIONS

For the past 111 years, a certain state suffered 32 direct hits from major(category 3 to... (answered by mathmate)
In the 2009 Major League Baseball​ season, a fictional baseball​ player,... (answered by jorel1380)
Find the following for the function​ f(x) = 4x+5/6x-7 ​(a) ​f(0)... (answered by solver91311)
Find the following for the function ​f(x)=lxl+20 ....note:the "l" next to x are... (answered by solver91311,Boreal)
Things did not go quite as planned. You invested ​$21, 360​, part of it in a... (answered by ikleyn)
An investment company pays 6 %compounded semiannually. You want to have $ 23000 in the... (answered by addingup)
In a certain​ year, 28​% of adults in a certain country viewed a college... (answered by josmiceli)
Find the indicated probabilities using the geometric​ distribution, the... (answered by Boreal)
Find the indicated probabilities using the geometric​ distribution, the... (answered by robertb)