(a) What is the probability a randomly selected American wants the next president to be middle-aged or willing to compromise? (b) What is the probability a randomly selected American wants the next president to be middle-aged or willing to compromise but not both? Interpret the result. (c) In a random group of four Americans, what is the probability none of them fell into at least one of the categories?
(a) What is the probability a randomly selected American wants the next president to be middle-aged or willing to compromise? (b) What is the probability a randomly selected American wants the next president to be middle-aged or willing to compromise but not both? Interpret the result. (c) In a random group of four Americans, what is the probability none of them fell into at least one of the categories?
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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Question 1.1
Please solve with simple probability rules
Transcribed Image Text:### Poll Findings on Preferences for the Next President
A poll conducted by Pugh Research surveyed American citizens about their preferences for the next president. Here are the key findings:
- **Middle-Aged Preference**: 75% of respondents want the next president to be middle-aged (between 35-65 years old).
- **Willing to Compromise**: 57% of respondents prefer a president who is willing to compromise on issues to accomplish action, rather than strictly adhering to partisan ideals.
- **Both Categories**: 48% of the respondents fell into both categories, wanting a president who is both middle-aged and willing to compromise.
### Questions and Calculations
**(a) What is the probability a randomly selected American wants the next president to be middle-aged or willing to compromise?**
**(b) What is the probability a randomly selected American wants the next president to be middle-aged or willing to compromise but not both? Interpret the result.**
**(c) In a random group of four Americans, what is the probability none of them fall into at least one of the categories?**
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