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2. A poll conducted by Pugh Research found 75% of 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. a. What is the probability it takes four attempts to find the first American who wants the next president to compromise on issues? b. What is the likelihood it takes at least four selections to find the first American who belongs to neither category? c. What is the probability the first American who wants the next president to be middle-aged is between the second and fifth attempts? d. How many Americans do we expect to select before finding the first one who belongs to both categories? Interpret this result. e. What is the likelihood exactly 14 Americans in a random group of 22 believe the next president should be middle- aged?

2. A poll conducted by Pugh Research found 75% of 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. a. What is the probability it takes four attempts to find the first American who wants the next president to compromise on issues? b. What is the likelihood it takes at least four selections to find the first American who belongs to neither category? c. What is the probability the first American who wants the next president to be middle-aged is between the second and fifth attempts? d. How many Americans do we expect to select before finding the first one who belongs to both categories? Interpret this result. e. What is the likelihood exactly 14 Americans in a random group of 22 believe the next president should be middle- aged?

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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Random Variables - Question 2.0 Please solve with simple probability rules (Bernoulli trails)
2. A poll conducted by Pugh Research found 75% of 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. a. What is the probability it takes four attempts to find the first American who wants the next president to compromise on issues? b. What is the likelihood it takes at least four selections to find the first American who belongs to neither category? c. What is the probability the first American who wants the next president to be middle-aged is between the second and fifth attempts? d. How many Americans do we expect to select before finding the first one who belongs to both categories? Interpret this result. e. What is the likelihood exactly 14 Americans in a random group of 22 believe the next president should be middle-aged?
Transcribed Image Text:2. A poll conducted by Pugh Research found 75% of 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. a. What is the probability it takes four attempts to find the first American who wants the next president to compromise on issues? b. What is the likelihood it takes at least four selections to find the first American who belongs to neither category? c. What is the probability the first American who wants the next president to be middle-aged is between the second and fifth attempts? d. How many Americans do we expect to select before finding the first one who belongs to both categories? Interpret this result. e. What is the likelihood exactly 14 Americans in a random group of 22 believe the next president should be middle-aged?
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