Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n = 124, p = 0.89 ….. The mean, μ, is (Round to the nearest tenth as needed.) The variance, o², is. (Round to the nearest tenth as needed.) The standard deviation, o, is. (Round to the nearest tenth as needed.)
Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n = 124, p = 0.89 ….. The mean, μ, is (Round to the nearest tenth as needed.) The variance, o², is. (Round to the nearest tenth as needed.) The standard deviation, o, is. (Round to the nearest tenth as needed.)
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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![**Title: Calculating the Mean, Variance, and Standard Deviation for a Binomial Distribution**
To calculate the mean, variance, and standard deviation of a binomial distribution, use the given values of \( n \) and \( p \).
**Given:**
- \( n = 124 \)
- \( p = 0.89 \)
**Calculations:**
1. **The Mean (\(\mu\)):**
\[
\mu = n \times p
\]
(Round to the nearest tenth as needed.)
2. **The Variance (\(\sigma^2\)):**
\[
\sigma^2 = n \times p \times (1 - p)
\]
(Round to the nearest tenth as needed.)
3. **The Standard Deviation (\(\sigma\)):**
\[
\sigma = \sqrt{n \times p \times (1 - p)}
\]
(Round to the nearest tenth as needed.)
**Additional Details:**
- Round each calculated value to the nearest tenth.
- Clicking "Next" proceeds to further tasks or calculations.
- A timer displays "Time Remaining: 02:32:05," indicating the remaining time to complete this task.
**Note:** Ensure you perform each calculation accurately and check the rounding to maintain precision.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F275f078e-e6df-4549-aae8-3195dc20960c%2Fc58f7a6e-a0fd-4f71-9ae9-acde22b6019a%2Ffaadswc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Calculating the Mean, Variance, and Standard Deviation for a Binomial Distribution**
To calculate the mean, variance, and standard deviation of a binomial distribution, use the given values of \( n \) and \( p \).
**Given:**
- \( n = 124 \)
- \( p = 0.89 \)
**Calculations:**
1. **The Mean (\(\mu\)):**
\[
\mu = n \times p
\]
(Round to the nearest tenth as needed.)
2. **The Variance (\(\sigma^2\)):**
\[
\sigma^2 = n \times p \times (1 - p)
\]
(Round to the nearest tenth as needed.)
3. **The Standard Deviation (\(\sigma\)):**
\[
\sigma = \sqrt{n \times p \times (1 - p)}
\]
(Round to the nearest tenth as needed.)
**Additional Details:**
- Round each calculated value to the nearest tenth.
- Clicking "Next" proceeds to further tasks or calculations.
- A timer displays "Time Remaining: 02:32:05," indicating the remaining time to complete this task.
**Note:** Ensure you perform each calculation accurately and check the rounding to maintain precision.
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