Suppose that 73% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 20 people are surveyed at random. a. What is the distribution of X?X - ? ( Please show the following answers to 4 decimal places. b. What is the probability that exactly 8 voters who prefer the Democratic candidate in the survey? c. What is the probability that at most 8 voters who prefer the Democratic candidate in the survey? d. What is the probability that more than 8 voters who prefer the Democratic candidate in the survey? e. What is the probability that between 7 and 13 (including 7 and 13) voters who prefer the Democratic candidate in the survey?

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Binomial distribution

Suppose that 73% of all voters prefer the Democratic
candidate. Let X be the number of people who prefer the
candidate when 20 people are surveyed at random.
a. What is the distribution of X?X - ? (
☺
Please show the following answers to 4 decimal
places.
b. What is the probability that exactly 8 voters who
prefer the Democratic candidate in the survey?
c. What is the probability that at most 8 voters who
prefer the Democratic candidate in the survey?
d. What is the probability that more than 8 voters who
prefer the Democratic candidate in the survey?
e. What is the probability that between 7 and 13
(including 7 and 13) voters who prefer the Democratic
candidate in the survey?
Transcribed Image Text:Suppose that 73% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 20 people are surveyed at random. a. What is the distribution of X?X - ? ( ☺ Please show the following answers to 4 decimal places. b. What is the probability that exactly 8 voters who prefer the Democratic candidate in the survey? c. What is the probability that at most 8 voters who prefer the Democratic candidate in the survey? d. What is the probability that more than 8 voters who prefer the Democratic candidate in the survey? e. What is the probability that between 7 and 13 (including 7 and 13) voters who prefer the Democratic candidate in the survey?
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