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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Florida Hurricanes From 1900 to 2010 (111 years), Florida

Chapter 6, Problem 17E

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QUESTION:

Problem 17E

Florida Hurricanes From 1900 to 2010 (111 years), Florida suffered 29 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. Source: National Hurricane Center

(a) What is the probability that Florida will not be hit by any major hurricanes in a single year?

(b) What is the probability that Florida will be hit by at least one major hurricane in a single year? Is this unusual?

(c) What is the probability that Florida will be hit by at least three major hurricanes in a single year, as happened in 2004? Does this indicate that the 2004 hurricane season in Florida was unusual?

(d) What is the probability that Florida will be hit by at least two major hurricanes in a single year, as happened in 2005? Does this indicate that the 2005 hurricane season in Florida was unusual?

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QUESTION:

Problem 17E

Florida Hurricanes From 1900 to 2010 (111 years), Florida suffered 29 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. Source: National Hurricane Center

(a) What is the probability that Florida will not be hit by any major hurricanes in a single year?

(b) What is the probability that Florida will be hit by at least one major hurricane in a single year? Is this unusual?

(c) What is the probability that Florida will be hit by at least three major hurricanes in a single year, as happened in 2004? Does this indicate that the 2004 hurricane season in Florida was unusual?

(d) What is the probability that Florida will be hit by at least two major hurricanes in a single year, as happened in 2005? Does this indicate that the 2005 hurricane season in Florida was unusual?

ANSWER:

Step 1 of 6

Given:

The number of direct hits from hurricanes in 111 years is 29.

The number of years is 111.

The number of hits per year follows a Poisson distribution.

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