The number of pages in a PDF document you create has a discrete uniform distribution from 5 to 11 pages (including the end points). What are the mean and standard deviation of the number of pages in the document? Round your answers to three decimal places (e.g. 98.765) if necessary. μl = pages 0= i pages
The number of pages in a PDF document you create has a discrete uniform distribution from 5 to 11 pages (including the end points). What are the mean and standard deviation of the number of pages in the document? Round your answers to three decimal places (e.g. 98.765) if necessary. μl = pages 0= i pages
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![### Problem Statement
The number of pages in a PDF document you create has a discrete uniform distribution from 5 to 11 pages (including the end points). What are the mean and standard deviation of the number of pages in the document? Round your answers to three decimal places (e.g., 98.765) if necessary.
### Calculation Fields
- **Mean (μ):**
```
μ = [input box] pages
```
- **Standard Deviation (σ):**
```
σ = [input box] pages
```
### Instructions
1. Determine the mean (μ) of the discrete uniform distribution.
2. Calculate the standard deviation (σ) of the discrete uniform distribution.
3. Round the calculated values to three decimal places.
This problem involves understanding the properties of discrete uniform distributions and applying the appropriate formulas to find the mean and standard deviation.
**Note:** The specific formulas for a discrete uniform distribution are:
- The mean is given by:
\[
\mu = \frac{a + b}{2}
\]
where \( a \) is the minimum value and \( b \) is the maximum value.
- The standard deviation is given by:
\[
\sigma = \sqrt{\frac{(b - a + 1)^2 - 1}{12}}
\]
where \( a \) and \( b \) are the minimum and maximum values of the distribution, respectively. Use these formulas to calculate the values required.
When you have computed the values, enter them into the respective input boxes labeled for mean (μ) and standard deviation (σ).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbb0b53a-c5e9-4f61-9041-8945e4ef01cb%2Fe3a1e852-4934-43cb-b3bc-cd35d26bdae6%2Fqabwyf_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
The number of pages in a PDF document you create has a discrete uniform distribution from 5 to 11 pages (including the end points). What are the mean and standard deviation of the number of pages in the document? Round your answers to three decimal places (e.g., 98.765) if necessary.
### Calculation Fields
- **Mean (μ):**
```
μ = [input box] pages
```
- **Standard Deviation (σ):**
```
σ = [input box] pages
```
### Instructions
1. Determine the mean (μ) of the discrete uniform distribution.
2. Calculate the standard deviation (σ) of the discrete uniform distribution.
3. Round the calculated values to three decimal places.
This problem involves understanding the properties of discrete uniform distributions and applying the appropriate formulas to find the mean and standard deviation.
**Note:** The specific formulas for a discrete uniform distribution are:
- The mean is given by:
\[
\mu = \frac{a + b}{2}
\]
where \( a \) is the minimum value and \( b \) is the maximum value.
- The standard deviation is given by:
\[
\sigma = \sqrt{\frac{(b - a + 1)^2 - 1}{12}}
\]
where \( a \) and \( b \) are the minimum and maximum values of the distribution, respectively. Use these formulas to calculate the values required.
When you have computed the values, enter them into the respective input boxes labeled for mean (μ) and standard deviation (σ).
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