For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year
For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Question
16. For a recent period of 100 years, there were 530 Atlantic hurricanes
a) State the distribution, the parameters (for each case) and the support of the distribution.
b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes.
c.) Find the probability that over a 5 year period there are 10 hurricanes.
d.) Find the probability that at least 2 hurricanes happen in a year.
Expert Solution
Step 1: Write down the given information
For a recent period of 100 years ,
There are 530 Atlantic hurricanes ,
So ,
λ = 530/100 = 5.3 per year
Because , each Atlantic hurricanes is different so,
It describes three conditions ,
Rate of occurrence of an event is same for each event
Each event is independent
Two events are not occuring together
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Solved in 3 steps
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