Suppose that 63% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 24 people are surveyed at random. What is the distribution of X? (      ,       ) Please show the following answers to 4 decimal places. What is the probability that exactly 13 voters who prefer the Democratic candidate in the survey? What is the probability that at least 13 voters who prefer the Democratic candidate in the survey?

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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Suppose that 63% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 24 people are surveyed at random.

    1. What is the distribution of X? (      ,       )

Please show the following answers to 4 decimal places.

  1. What is the probability that exactly 13 voters who prefer the Democratic candidate in the survey?
  2. What is the probability that at least 13 voters who prefer the Democratic candidate in the survey?
  3. What is the probability that at most 13 voters who prefer the Democratic candidate in the survey?
  4. What is the probability that between 12 and 14 (including 12 and 14) voters who prefer the Democratic candidate in the survey?
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