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 1 2...

Extracted text: 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 1 2 4 6 7 10 12 Frequency 16 20 14 3 4 4 1 1 Ratio (Type integers or decimals rounded to two decimal places as needed.)


Extracted text: 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 1 2 4 6. 7 8 10 12 D Frequency 16 20 14 3 4 4 2 1 1 a. Find the probabilities of 0–12 hurricanes each season using these data. Number 1 2 3 4 7 8 10 12 Frequency 16 20 14 4 4 2 1 1 Probability 0.067 0.213 0.267 0.187 0.04 0.067 0.053 0.053 0.027 0.013 0.013 (Type integers or decimals rounded to three decimal places as needed.) b. Find the mean number of hurricanes. mean = 3 (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 3 4 7 8 10 12 Frequency 5 16 20 14 4 4 1 1 Poisson 0.050 0.149 0.224 0.224 0.168 0.101 0.050 0.022 0.008 0.001 0.000 Probability 5 5