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For the past 111 years, a certain state suffered 23 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 No O Yes (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 No O Yes (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?

For the past 111 years, a certain state suffered 23 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 No O Yes (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 No O Yes (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?

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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For the past 111 years, a certain state suffered 23 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). ....N (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 No O Yes (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? No O Yes (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 Time Remaining: 02:19:32 Next DEC 16 280 MacBook Air DII DD F12 F11 F10 F9 80 F7 F8 F6 F5 F4 esc F2 F3 F1 2# 7 8 2 3 4 5 1 P Y Q W E 会 T
Transcribed Image Text:For the past 111 years, a certain state suffered 23 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). ....N (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 No O Yes (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? No O Yes (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 Time Remaining: 02:19:32 Next DEC 16 280 MacBook Air DII DD F12 F11 F10 F9 80 F7 F8 F6 F5 F4 esc F2 F3 F1 2# 7 8 2 3 4 5 1 P Y Q W E 会 T
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