5, 6 The number and frequency of a certain ocean's hurricanes annually from 1930 through 2005 is shown below. This means, for instance, that no hurricanes occurred during 6 of these years, only one hurricane occurred in 15 of these years, and so on. Complete parts a through c below. Number 0 1 2 3 4 5 6 7 8 11 12 D Frequency 6 15 20 13 3 5 5 4 2 1 1 a. Find the probabilities of 0-12 hurricanes each season using these data. Number CO N O 11 12 Frequency 6 15 20 5 A N Probability (Type integers or decimals rounded to three decimal places as needed.) b. Find the mean number of hurricanes. 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 1 2 11 12 N CO Frequency 6 15 20 13 5 A Poisson Probability (Type integers or decimals rounded to three decimal places as needed.)