The number and frequency of a certain ocean's hurricanes annually from 1935 through 2010 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. Number 1 3 6 7 8 10 12 D Frequency 5 16 20 14 3 4 4 1 1 a. Find the probabilities of 0-12 hurricanes each season using these data. Number 2 3 7 8 10 12 Frequency 16 20 14 3 4 4 2 1 Probability 0.067 0.213 0.267 0.187 0.04 0.067 0.053 0.053 0.027 0.013 0.013 (Type integers or decimals rounded to three decimal places as needed.) b. Find the mean number of hurricanes. mean = 3 (Type an integer or decimal rounded to three decimal places as needed.) c. Assuming a 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 probabilities assuming a Poisson distribution. Number 1 2 3 4 5 6 7 8 10 12 Frequency 16 20 14 3 4 4 2 1 1 Poisson 0.042 0.134 0.212 0.111 0.002 Probability (Type integers or decimals rounded to three decimal places as needed.)
The number and frequency of a certain ocean's hurricanes annually from 1935 through 2010 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. Number 1 3 6 7 8 10 12 D Frequency 5 16 20 14 3 4 4 1 1 a. Find the probabilities of 0-12 hurricanes each season using these data. Number 2 3 7 8 10 12 Frequency 16 20 14 3 4 4 2 1 Probability 0.067 0.213 0.267 0.187 0.04 0.067 0.053 0.053 0.027 0.013 0.013 (Type integers or decimals rounded to three decimal places as needed.) b. Find the mean number of hurricanes. mean = 3 (Type an integer or decimal rounded to three decimal places as needed.) c. Assuming a 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 probabilities assuming a Poisson distribution. Number 1 2 3 4 5 6 7 8 10 12 Frequency 16 20 14 3 4 4 2 1 1 Poisson 0.042 0.134 0.212 0.111 0.002 Probability (Type integers or decimals rounded to three decimal places as needed.)
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
Only need help with part c
Transcribed Image Text:The number and frequency of a certain ocean's hurricanes annually from 1935 through 2010 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.
Number
1
4
6
7
8
10 12 O
Frequency
5
16 20 14
3
4
4
2
1
1
...
a. Find the probabilities of 0–12 hurricanes each season using these data.
Number
1
2
4
6.
7
8
10
12
Frequency
16
20
14
3
4
4
2
1
1
Probability
0.067
0.213
0.267
0.187
0.04
0.067
0.053
0.053
0.027
0.013
0.013
(Type integers or decimals rounded to three decimal places as needed.)
b. Find the mean number of hurricanes.
mean = 3
(Type an integer or decimal rounded to three decimal places as needed.)
c. Assuming a 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 probabilities assuming a Poisson distribution.
Number
1
2
4
6.
10
12
Frequency
16
20
14
3
4
4
2
1
1
Poisson
0.042
0.134
0.212
0.111
0.002
Probability
(Type integers or decimals rounded to three decimal places as needed.)
O L5
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 2 steps with 1 images
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