3. The assembly time for a product is uniformly distributed between 6 and 10 minutes. The standard deviation of assembly time (in minutes) is approximately O 1.15 16 .33 O.13
3. The assembly time for a product is uniformly distributed between 6 and 10 minutes. The standard deviation of assembly time (in minutes) is approximately O 1.15 16 .33 O.13
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Problem Statement:
3. The assembly time for a product is uniformly distributed between 6 and 10 minutes. The standard deviation of assembly time (in minutes) is approximately _____.
### Multiple Choice Options:
- ○ 1.15
- ○ 16
- ○ .33
- ○ .13
**Explanation of the Concept:**
For a uniformly distributed continuous random variable over the interval \([a, b]\), the standard deviation is calculated using the formula:
\[
\sigma = \frac{b-a}{\sqrt{12}}
\]
In this problem:
- \(a = 6\)
- \(b = 10\)
Calculate the standard deviation using these values.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c6c3461-7492-496f-98bc-6ef78f2648e2%2F0b0e385a-6f7d-4c5a-8e8c-f1109a7a95a6%2Fxsiqxfb_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
3. The assembly time for a product is uniformly distributed between 6 and 10 minutes. The standard deviation of assembly time (in minutes) is approximately _____.
### Multiple Choice Options:
- ○ 1.15
- ○ 16
- ○ .33
- ○ .13
**Explanation of the Concept:**
For a uniformly distributed continuous random variable over the interval \([a, b]\), the standard deviation is calculated using the formula:
\[
\sigma = \frac{b-a}{\sqrt{12}}
\]
In this problem:
- \(a = 6\)
- \(b = 10\)
Calculate the standard deviation using these values.
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