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%?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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