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a. Find the probabilities of 0-12 hurricanes each season using these data. b. Find the mean number of hurricanes. c. Assuming a Poisson distribution and
a. Find the probabilities of 0-12 hurricanes each season using these data.
The number and frequency of a certain ocean's hurricanes annually from 1935 through 2010 is shown below. This means, for instance, that no hurricanes occurred during 5 of these years, only one hurricane occurred in 16 of these years, and so on. Complete parts a through c below Number 0 1 2 3 4 5 Frequency 5 16 20 12 4 6 a. Find the probabilities of 0-12 hurricanes each season using these data 4 4 Number Frequency Probability 0 0 0 (Type integers or decimals rounded to three decimal places as needed.) 0 5 6 7 8 9 12 4 4 2 1 1 1 16 2 20 3 12 591 6 6 4 7 4 CON 8 2 9 1 12 1 b. Find the mean number of hurricanes.
c. Assuming a Poisson distribution and using the mean number of hurricanes per season from part b, compute the probabilities of experiencing 0-12 hurricanes in a season. compute probabilities assuming a Poisson distribution.
d. Compare the probabilities assuming a Poisson distribution to your answers in part a. Divide each Poissin probability by its respective probability to get a measure if their relative ratios.
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