You plan to organize a party for the freshmen in the university and would like to have a good estimate of the number of students that will come. For this purpose you conduct a survey of random freshmen asking them whether they plan to come or not. If there are 1000 freshmen, at least how many students do you need to ask to be able to claim that your guess for the number of students that will come will be within 50 of the actual number with probability at least 80%?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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You plan to organize a party for the freshmen in the university and would like to have a good
estimate of the number of students that will come. For this purpose you conduct a survey of
random freshmen asking them whether they plan to come or not. If there are 1000 freshmen,
at least how many students do you need to ask to be able to claim that your guess for the
number of students that will come will be within 50 of the actual number with probability
at least 80%?
Transcribed Image Text:You plan to organize a party for the freshmen in the university and would like to have a good estimate of the number of students that will come. For this purpose you conduct a survey of random freshmen asking them whether they plan to come or not. If there are 1000 freshmen, at least how many students do you need to ask to be able to claim that your guess for the number of students that will come will be within 50 of the actual number with probability at least 80%?
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