**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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**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
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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