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2. A poll conducted by Pugh Research found 75% Americans want the next president to be middle-aged (35-65 years old). 57% responded that they preferred a president willing to compromise on issues to accomplish action rather than make decisions strictly along partisan ideals. 48% of the respondents fell into both categories. g. What is the likelihood at least 12 Americans in a random group of 40 belong only to the category of wanting the next president to be middle-aged? h. What is the probability from 14 to 20 Americans in a random group of 28 belong to both categories? i. How many adults in a random group of 36 would we expect to belong in neither category? Interpret the result.

2. A poll conducted by Pugh Research found 75% Americans want the next president to be middle-aged (35-65 years old). 57% responded that they preferred a president willing to compromise on issues to accomplish action rather than make decisions strictly along partisan ideals. 48% of the respondents fell into both categories. g. What is the likelihood at least 12 Americans in a random group of 40 belong only to the category of wanting the next president to be middle-aged? h. What is the probability from 14 to 20 Americans in a random group of 28 belong to both categories? i. How many adults in a random group of 36 would we expect to belong in neither category? Interpret the result.

MATLAB: An Introduction with Applications
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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Bernoulli Trials - Question 2.2 Please solve with simple probability rules
### Poll Conducted by Pugh Research A poll conducted by Pugh Research found the following key insights about American preferences regarding the next president: 1. **Preference for Middle-aged President**: 75% of Americans want the next president to be middle-aged (35-65 years old). 2. **Preference for Compromise**: 57% of respondents preferred a president who is willing to compromise on issues to accomplish action rather than strictly adhere to partisan ideals. 3. **Overlap in Preferences**: 48% of respondents fell into both categories (wanting a middle-aged president and preferring a president willing to compromise). #### Questions and Scenarios g. **Likelihood Calculation** - What is the likelihood that at least 12 Americans in a random group of 40 belong only to the category of wanting the next president to be middle-aged? h. **Probability Calculation** - What is the probability that from 14 to 20 Americans in a random group of 28 belong to both categories (wanting a middle-aged president and preferring a president willing to compromise)? i. **Expectation Calculation** - How many adults in a random group of 36 would we expect to belong in neither category? Interpret the result. These insights and questions help in understanding public opinion and applying statistical methods to analyze survey data.
Transcribed Image Text:### Poll Conducted by Pugh Research A poll conducted by Pugh Research found the following key insights about American preferences regarding the next president: 1. **Preference for Middle-aged President**: 75% of Americans want the next president to be middle-aged (35-65 years old). 2. **Preference for Compromise**: 57% of respondents preferred a president who is willing to compromise on issues to accomplish action rather than strictly adhere to partisan ideals. 3. **Overlap in Preferences**: 48% of respondents fell into both categories (wanting a middle-aged president and preferring a president willing to compromise). #### Questions and Scenarios g. **Likelihood Calculation** - What is the likelihood that at least 12 Americans in a random group of 40 belong only to the category of wanting the next president to be middle-aged? h. **Probability Calculation** - What is the probability that from 14 to 20 Americans in a random group of 28 belong to both categories (wanting a middle-aged president and preferring a president willing to compromise)? i. **Expectation Calculation** - How many adults in a random group of 36 would we expect to belong in neither category? Interpret the result. These insights and questions help in understanding public opinion and applying statistical methods to analyze survey data.
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