what is the probability that the state will not be hit by any major hurricanes in a single year?    b.) what is the probability that the state will be hit by at least one major hurricane in a single year?    c.) what is the probability that the state will be hit by at least 3 major hurricanes in a single year, as happened several years ago?

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For the past 107 years a certain state suffered 30 direct hits from a major category 3 to 5 hurricane. Assume this was typical and the number of hits per year follows a Poisson distribution. 

 

a.) what is the probability that the state will not be hit by any major hurricanes in a single year? 

 

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

 

c.) what is the probability that the state will be hit by at least 3 major hurricanes in a single year, as happened several years ago? 

 

d.) what is the probability that the state will be hit by at last two major hurricanes in a single year, as happened last year? 

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