78% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. Find the mean of the binomial distribution. μ = 4.7 (Round to the nearest tenth as needed.) Find the variance of the binomial distribution. 0² = (Round to the nearest tenth as needed.)
78% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. Find the mean of the binomial distribution. μ = 4.7 (Round to the nearest tenth as needed.) Find the variance of the binomial distribution. 0² = (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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![**Understanding Binomial Distribution in the Context of Political Correctness in America:**
According to a survey, 78% of U.S. adults believe that political correctness is an issue in America today. When you randomly select a sample of six U.S. adults and ask if they think political correctness is a problem, the random variable represents the number of adults who agree with this sentiment. Below are some statistical questions based on this data sample.
**Questions:**
1. **Find the Mean of the Binomial Distribution:**
The mean (\(\mu\)) of the binomial distribution is calculated as follows:
\[
\mu = 4.7 \quad (\text{Round to the nearest tenth as needed.})
\]
2. **Find the Variance of the Binomial Distribution:**
The variance (\(\sigma^2\)) of the binomial distribution can also be calculated, though in this example, it is left as an exercise:
\[
\sigma^2 = \quad (\text{Round to the nearest tenth as needed.})
\]
This exercise helps in understanding the application of binomial distribution to real-world scenarios, providing insights into how statistical measures like mean and variance are computed and interpreted in sociological studies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35b6c70d-8de6-4ced-ba13-39b6b43ecdee%2F1d9220d6-144b-444c-838d-96cb20b65e42%2F5kimhzj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Binomial Distribution in the Context of Political Correctness in America:**
According to a survey, 78% of U.S. adults believe that political correctness is an issue in America today. When you randomly select a sample of six U.S. adults and ask if they think political correctness is a problem, the random variable represents the number of adults who agree with this sentiment. Below are some statistical questions based on this data sample.
**Questions:**
1. **Find the Mean of the Binomial Distribution:**
The mean (\(\mu\)) of the binomial distribution is calculated as follows:
\[
\mu = 4.7 \quad (\text{Round to the nearest tenth as needed.})
\]
2. **Find the Variance of the Binomial Distribution:**
The variance (\(\sigma^2\)) of the binomial distribution can also be calculated, though in this example, it is left as an exercise:
\[
\sigma^2 = \quad (\text{Round to the nearest tenth as needed.})
\]
This exercise helps in understanding the application of binomial distribution to real-world scenarios, providing insights into how statistical measures like mean and variance are computed and interpreted in sociological studies.
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