The number of flaws in a certain type of lumber has a Poisson distribution with a rate of 0.5 per meter of length. What is the mean number of flaws in a board 5 meters in length? Do not put any units in your answer.
The number of flaws in a certain type of lumber has a Poisson distribution with a rate of 0.5 per meter of length. What is the mean number of flaws in a board 5 meters in length? Do not put any units in your answer.
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
100%
![**Problem Statement:**
The number of flaws in a certain type of lumber has a Poisson distribution with a rate of 0.5 per meter of length. What is the mean number of flaws in a board 5 meters in length? Do not put any units in your answer.
**Solution:**
Given:
- Poisson distribution rate (\(\lambda\)) = 0.5 flaws per meter
To find the mean number of flaws in a 5-meter board, multiply the rate by the length:
\[ \text{Mean number of flaws} = \lambda \times \text{length} = 0.5 \times 5 = 2.5 \]
The mean number of flaws in a 5-meter board is 2.5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F916f3b4b-5515-4e49-adba-db29d1d6eb22%2F92bdaf14-59f4-4dcc-bc05-1e820a57d487%2F223k9w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The number of flaws in a certain type of lumber has a Poisson distribution with a rate of 0.5 per meter of length. What is the mean number of flaws in a board 5 meters in length? Do not put any units in your answer.
**Solution:**
Given:
- Poisson distribution rate (\(\lambda\)) = 0.5 flaws per meter
To find the mean number of flaws in a 5-meter board, multiply the rate by the length:
\[ \text{Mean number of flaws} = \lambda \times \text{length} = 0.5 \times 5 = 2.5 \]
The mean number of flaws in a 5-meter board is 2.5.
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 2 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