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
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**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.
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.
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