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 5 of these years, only one hurricane occurred in 16 of these years, and so on. Complete parts a through c below. 6 7 Number Frequency 9 12 D 1 1 1 2 3 4 8 16 20 10 3 a. Find the probabilities of 0–12 hurricanes each season using these data. Number 1 3 4 7 8 9. 12 Frequency 16 20 10 4 3 1 1 Probability (Type integers or decimals rounded to three decimal places as needed.)
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 5 of these years, only one hurricane occurred in 16 of these years, and so on. Complete parts a through c below. 6 7 Number Frequency 9 12 D 1 1 1 2 3 4 8 16 20 10 3 a. Find the probabilities of 0–12 hurricanes each season using these data. Number 1 3 4 7 8 9. 12 Frequency 16 20 10 4 3 1 1 Probability (Type integers or decimals rounded to three decimal places as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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Part b and c of the question in the image:
Part b: Find the mean number of hurricanes.
(Type an integer or decimal rounded to three decimal places as needed)
Part c: Assuming the 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 probablities assuming a Poisson distribution.
(Type an integer or decimal rounded to three decimal places as needed)
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