For the past 105 years, a certain state suffered 39 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 0.6897. (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 0.3103. (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 0.5189. (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 0.8245. (Round to four decimal places as needed.) (1,1) More
For the past 105 years, a certain state suffered 39 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 0.6897. (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 0.3103. (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 0.5189. (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 0.8245. (Round to four decimal places as needed.) (1,1) More
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please answer a-d
Transcribed Image Text:For the past 105 years, a certain state suffered 39 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 0.6897. (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 0.3103. (Round to four decimal places as needed.)
Is this unusual?
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 0.5189. (Round to four decimal places as needed.)
Does this indicate that the hurricane season several years ago in this state was unusual?
No
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 0.8245. (Round to four decimal places as needed.)
(1,1)
More
Click to select your answer(s).
?
![For the past 105 years, a certain state suffered 39 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).
The probablity is 0.3103]. (Round to four decimal places as needed.)
Is this unusual?
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 0.5189. (Round to four decimal places as needed.)
Does this indicate that the hurricane season several years ago in this state was unusual?
No
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 0.8245. (Round to four decimal places as needed.)
Does this indicate that the hurricane season this year in this state was unusual?
Yes
No
(1,1)
More
Click to select your answer(s).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd7e6a9-a945-48f5-aefb-c70db4c3e9d2%2F2d294529-21e2-4f8d-a079-7462f0a1e7ba%2Fcyvz48_processed.png&w=3840&q=75)
Transcribed Image Text:For the past 105 years, a certain state suffered 39 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).
The probablity is 0.3103]. (Round to four decimal places as needed.)
Is this unusual?
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 0.5189. (Round to four decimal places as needed.)
Does this indicate that the hurricane season several years ago in this state was unusual?
No
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 0.8245. (Round to four decimal places as needed.)
Does this indicate that the hurricane season this year in this state was unusual?
Yes
No
(1,1)
More
Click to select your answer(s).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman