**Finding the Mean, Variance, and Standard Deviation of a Binomial Distribution** For a binomial distribution given with: - \( n = 124 \) - \( p = 0.33 \) Calculate the following: 1. **The Mean (\(\mu\))**: - Formula: \(\mu = n \cdot p\) - Round your answer to the nearest tenth as needed. 2. **The Variance (\(\sigma^2\))**: - Formula: \(\sigma^2 = n \cdot p \cdot (1 - p)\) - Round your answer to the nearest tenth as needed. 3. **The Standard Deviation (\(\sigma\))**: - Formula: \(\sigma = \sqrt{\sigma^2}\) - Round your answer to the nearest tenth as needed. **Note**: The calculations should be performed using the provided values of \( n \) and \( p \), and ensure all answers are rounded to the nearest tenth for precision. **Time Remaining to Solve the Problem**: 01:54:39
**Finding the Mean, Variance, and Standard Deviation of a Binomial Distribution** For a binomial distribution given with: - \( n = 124 \) - \( p = 0.33 \) Calculate the following: 1. **The Mean (\(\mu\))**: - Formula: \(\mu = n \cdot p\) - Round your answer to the nearest tenth as needed. 2. **The Variance (\(\sigma^2\))**: - Formula: \(\sigma^2 = n \cdot p \cdot (1 - p)\) - Round your answer to the nearest tenth as needed. 3. **The Standard Deviation (\(\sigma\))**: - Formula: \(\sigma = \sqrt{\sigma^2}\) - Round your answer to the nearest tenth as needed. **Note**: The calculations should be performed using the provided values of \( n \) and \( p \), and ensure all answers are rounded to the nearest tenth for precision. **Time Remaining to Solve the Problem**: 01:54:39
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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Transcribed Image Text:**Finding the Mean, Variance, and Standard Deviation of a Binomial Distribution**
For a binomial distribution given with:
- \( n = 124 \)
- \( p = 0.33 \)
Calculate the following:
1. **The Mean (\(\mu\))**:
- Formula: \(\mu = n \cdot p\)
- Round your answer to the nearest tenth as needed.
2. **The Variance (\(\sigma^2\))**:
- Formula: \(\sigma^2 = n \cdot p \cdot (1 - p)\)
- Round your answer to the nearest tenth as needed.
3. **The Standard Deviation (\(\sigma\))**:
- Formula: \(\sigma = \sqrt{\sigma^2}\)
- Round your answer to the nearest tenth as needed.
**Note**: The calculations should be performed using the provided values of \( n \) and \( p \), and ensure all answers are rounded to the nearest tenth for precision.
**Time Remaining to Solve the Problem**: 01:54:39
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