The number and frequency of a certain ocean's hurricanes annually from 1935 through 2010 is shown below. This means, for

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: The Number And Frequency Of A Certain Ocean S Hurricanes Annually From 1935 Through 2010 Is Shown Below This Means For 1 (18.72 KiB) Viewed 21 times

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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 4 of these years, only one hurricane occurred in 13 of these years, and so on Complete parts a through c below Number 0 1 2 3 4 5 6 7 8 9 12 Frequency 4 13 20 16 5 6 4 3 2 1 1 a. Find the probabilities of 0-12 hurricanes each season using these data. Number 0 1 3 4 5 2 13 20 16 Frequency 4 5 6 Probability (Type integers or decimals rounded to three decimal places as needed) b. Find the mean number of humicanes 6 4 7 3 mean = (Type an integer or decimal rounded to three decimal places as needed) 8 ONE 2 9 1 12 1

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 Compare these to your answer to part a. How accurately does a Poisson distribution model this phenomenon? Construct a chart to visualize these results Start by computing the probabilities assuming a Poisson distribution Number 0 1 Frequency 4 13 Poisson 0 0 Probability (Type integers or decimals rounded to three decimal places as needed.) Compare the probabilities assuming a Poisson distribution to your answers in part a. Divide each Poisson probability by its respective probability to get a measure of their relative ratios Number Frequency Ratio OF 8 4 2 20 N 3 16 1 3 13 20 16 4 5 4 5 5 6 5 6 6 4 6 4 (Type integers or decimals rounded to two decimal places as needed) 7 3 730 8 NE 2 8 2 9 1 9 1 12 1 12 1

Construct a chart to visualize these results. Choose the correct graph below OA OB. 024 Hunder 3 Humber 10 12 OC. 024 Number 2

How accurately does a Poisson distribution model this phenomenon? OA. The Poisson distribution overestimates for the extreme numbers and underestimates for the central numbers. OB. The Poisson distribution is a very accurate model of this phenomenon. OC. The Poisson distribution is a very inaccurate model of this phenomenon. O D. The Poisson distribution overestimates for the central numbers and underestimates for the extreme numbers.