**Finding the Mean, Variance, and Standard Deviation of a Binomial Distribution**To find the mean, variance, and standard deviation of the binomial distribution with the given values of $ n $ and $ p $:\[n = 125, \quad p = 0.48\]### MeanThe mean ($ \mu $) of a binomial distribution is calculated using the formula:\[\mu = n \cdot p\]Given:\[n = 125\]\[p = 0.48\]Calculate the mean:\[\mu = 125 \cdot 0.48\]\[\mu = 60\]So, the mean, $ \mu $, is **60**. **(Note: As needed, round to the nearest tenth.)****(For the next steps, similar calculations for variance and standard deviation can be displayed and explained.)**

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Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n= 125, p 0.48 The mean, p, 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

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Estimation

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Question

**Finding the Mean, Variance, and Standard Deviation of a Binomial Distribution**

To find the mean, variance, and standard deviation of the binomial distribution with the given values of $ n $ and $ p $:

\[
n = 125, \quad p = 0.48
\]

### Mean

The mean ($ \mu $) of a binomial distribution is calculated using the formula:

\[
\mu = n \cdot p
\]

Given:

\[
n = 125
\]
\[
p = 0.48
\]

Calculate the mean:

\[
\mu = 125 \cdot 0.48
\]

\[
\mu = 60
\]

So, the mean, $ \mu $, is **60**.

**(Note: As needed, round to the nearest tenth.)**

**(For the next steps, similar calculations for variance and standard deviation can be displayed and explained.)**

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