Fifty individuals are randomly selected from a population. It is known that, in the population, 5% of all individuals are not going to vote in the next election.  Assuming that the percent of nonvoting individuals may be approximated by the normal distribution, What is the probability that 8% or less of the 50 sampled individuals will not vote? What is the probability that between 4% and 10% of the sampled individuals will note vote? What is the probability that more than 12% of the people in the sample will not vote in the next election?

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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Fifty individuals are randomly selected from a population. It is known that, in the population, 5% of all individuals are not going to vote in the next election.  Assuming that the percent of nonvoting individuals may be approximated by the normal distribution,

  1. What is the probability that 8% or less of the 50 sampled individuals will not vote?
  2. What is the probability that between 4% and 10% of the sampled individuals will note vote?
  3. What is the probability that more than 12% of the people in the sample will not vote in the next election? 
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