The number and frequency of a certain ocean's hurricanes annually from 1940 through 2015 is shown below. This means, for instance, that no hurricanes occumed during 6 of these years, only one humicane occurred in 14 of these years, and so on. Complete parts a through c below. Number 0 1 2 3 4 5 6 7 8 9 12 0 Frequency 6 14 20 15 3 5 4 4 2 1 1 a. Find the probabibes of 0-12 hurricanes each season using these data Number Frequency 0 1 2 3 4 5 7 12 6 14 20 15 3 5 4 4 2 1 1 Probability (Type integers or decimals rounded to three decimal places as needed) b. Find the mean number of humcanes mean- (Type an integer or decimal rounded to three decimal places as needed) 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 2 3 4 5 6 7 Frequency 6 14 20 15 3 5 4 4 Poisson Probability 24 9 1 12 1 (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 ther relative rabos Number 0 1 2 3 A 5 6 7 B 9 12 Frequency 0 14 20 15 3 5 4 4 2 1 1 Ratio (Type integers or decimals rounded to two decimal places as needed) Construct a chart to visualize these results. Choose the correct graph below O A. 03 02+ 0.1 468 10 12 Number O B. 02 01- 8 10 12 Number O c. 03 02 E 0.14 How accurately does a Poisson distribution model this phenomenon? OA. The Poisson distribution is a very accurate model of this phenomenon. OB. The Poisson distribution overestimates for the extreme numbers and underestimates for the central numbers. OC. The Poisson distribution overestimates for the central numbers and underestimates for the extreme numbers OD. The Poisson distribution is a very inaccurate model of this phenomenon 10 12 Number D 034 02 ^ 01 6 8 10 12 Number