Suppose that 36% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 21 people are surveyed at random. What is the distribution of X? X ~ ? B U N  (,) Please show the following answers to 4 decimal places. What is the probability that exactly 7 voters who prefer the Democratic candidate in the survey?  What is the probability that at most 7 voters who prefer the Democratic candidate in the survey?  What is the probability that more than 7 voters who prefer the Democratic candidate in the survey

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Suppose that 36% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 21 people are surveyed at random.

    1. What is the distribution of X? X ~ ? B U N  (,)

Please show the following answers to 4 decimal places.

  1. What is the probability that exactly 7 voters who prefer the Democratic candidate in the survey? 
  2. What is the probability that at most 7 voters who prefer the Democratic candidate in the survey? 
  3. What is the probability that more than 7 voters who prefer the Democratic candidate in the survey? 
  4. What is the probability that between 5 and 12 (including 5 and 12) voters who prefer the Democratic candidate in the survey? 
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