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?
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?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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?
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