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.)
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
Section: Chapter Questions
Problem 1P
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![**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.)**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d7dd878-68eb-4c6b-9d67-0903dd8963d8%2F0f0a793c-345b-4fba-8cd1-4df0182439aa%2F4mbmme_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**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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