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For the past 115 years, a certain state suffered 28 direct hits from major (category 3 to 5) hurricanes. Assume that this was typical and the number of hits per year follows a Poisson distribution. Complete parts (a) through (d). (a) What is the probability that the state will not be hit by any major hurricanes in a single year? The probability is (Round to four decimal places as needed.) (b) What is the probability that the state will be hit by at least one major hurricane in a single year? The probability is. (Round to four decimal places as needed.) Is this unusual? O Yes No (c) What is the probability that the state will be hit by at least three major hurricanes in a single year, as happened several years ago? The probability is- (Round to four decimal places as needed.) Does this indicate that the hurricane season several years ago in this state was unusual? Yes O No (d) What is the probability that the state will be hit by at least two major hurricanes in a single year, as happened last year? The probability is. (Round to four decimal places as needed.) Does this indicate that the hurricane season this year in this state was unusual? No Yes

For the past 115 years, a certain state suffered 28 direct hits from major (category 3 to 5) hurricanes. Assume that this was typical and the number of hits per year follows a Poisson distribution. Complete parts (a) through (d). (a) What is the probability that the state will not be hit by any major hurricanes in a single year? The probability is (Round to four decimal places as needed.) (b) What is the probability that the state will be hit by at least one major hurricane in a single year? The probability is. (Round to four decimal places as needed.) Is this unusual? O Yes No (c) What is the probability that the state will be hit by at least three major hurricanes in a single year, as happened several years ago? The probability is- (Round to four decimal places as needed.) Does this indicate that the hurricane season several years ago in this state was unusual? Yes O No (d) What is the probability that the state will be hit by at least two major hurricanes in a single year, as happened last year? The probability is. (Round to four decimal places as needed.) Does this indicate that the hurricane season this year in this state was unusual? No Yes

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Text for Educational Website** **Hurricane Probability Analysis** For the past 115 years, a certain state suffered 28 direct hits from major (category 3 to 5) hurricanes. Assume this was typical and the number of hits per year follows a Poisson distribution. Complete parts (a) through (d). **(a)** What is the probability that the state will not be hit by any major hurricanes in a single year? - The probability is [ ] (Round to four decimal places as needed.) **(b)** What is the probability that the state will be hit by at least one major hurricane in a single year? - The probability is [ ] (Round to four decimal places as needed.) - Is this unusual? - O Yes - O No **(c)** What is the probability that the state will be hit by at least three major hurricanes in a single year, as happened several years ago? - The probability is [ ] (Round to four decimal places as needed.) - Does this indicate that the hurricane season several years ago in this state was unusual? - O Yes - O No **(d)** What is the probability that the state will be hit by at least two major hurricanes in a single year, as happened last year? - The probability is [ ] (Round to four decimal places as needed.) - Does this indicate that the hurricane season this year in this state was unusual? - O No - O Yes **Instructions** - Fill in the blanks with the calculated probabilities. - Determine the unusualness of the hurricane seasons based on the probabilities. - Use the Poisson distribution formula where necessary to solve the problems. **Note:** There are no graphs or diagrams in the image to explain.
Transcribed Image Text:**Text for Educational Website** **Hurricane Probability Analysis** For the past 115 years, a certain state suffered 28 direct hits from major (category 3 to 5) hurricanes. Assume this was typical and the number of hits per year follows a Poisson distribution. Complete parts (a) through (d). **(a)** What is the probability that the state will not be hit by any major hurricanes in a single year? - The probability is [ ] (Round to four decimal places as needed.) **(b)** What is the probability that the state will be hit by at least one major hurricane in a single year? - The probability is [ ] (Round to four decimal places as needed.) - Is this unusual? - O Yes - O No **(c)** What is the probability that the state will be hit by at least three major hurricanes in a single year, as happened several years ago? - The probability is [ ] (Round to four decimal places as needed.) - Does this indicate that the hurricane season several years ago in this state was unusual? - O Yes - O No **(d)** What is the probability that the state will be hit by at least two major hurricanes in a single year, as happened last year? - The probability is [ ] (Round to four decimal places as needed.) - Does this indicate that the hurricane season this year in this state was unusual? - O No - O Yes **Instructions** - Fill in the blanks with the calculated probabilities. - Determine the unusualness of the hurricane seasons based on the probabilities. - Use the Poisson distribution formula where necessary to solve the problems. **Note:** There are no graphs or diagrams in the image to explain.
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