For the 55-year period since 1960, there were 336 Atlantic hurricanes. Assuming the Poisson distribution, ​ a) find µ, the mean number of hurricanes per year;​ b) find the probability that in a randomly selected year, there are exactly 8 hurricanes;​ c) in this 55-year period, there were actually 5 years with 8 Atlantic hurricanes. How does this actual result compare to the probability found in part (b)? Does the Poisson distribution appear to be a good model in this case?

A First Course in Probability (10th Edition)
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For the 55-year period since 1960, there were 336 Atlantic hurricanes. Assuming the Poisson distribution, ​

  1. a) find µ, the mean number of hurricanes per year;​
  2. b) find the probability that in a randomly selected year, there are exactly 8 hurricanes;​
  3. c) in this 55-year period, there were actually 5 years with 8 Atlantic hurricanes. How does this actual result compare to the probability found in part (b)? Does the Poisson distribution appear to be a good model in this case?
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