Question 1.1 Please solve with simple probability rules ### Poll Findings on Preferences for the Next PresidentA 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?**

(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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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