Suppose that 67% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 35 people are surveyed at random. ~ [N a. What is the distribution of X? X N (.67 35 Please show the following answers to 4 decimal places. b. What is the probability that exactly 10 voters who prefer the Democratic candidate in the survey? c. What is the probability that at most 10 voters who prefer the Democratic candidate in the survey? d. What is the probability that more than 10 voters who prefer the Democratic candidate in the survey? e. What is the probability that between 9 and 11 (including 9 and 11) 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 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Suppose that 67% of all voters prefer the Democratic candidate. Let X be the number of people who prefer
the candidate when 35 people are surveyed at random.
~ [N
a. What is the distribution of X? X N (.67
35
Please show the following answers to 4 decimal places.
b. What is the probability that exactly 10 voters who prefer the Democratic candidate in the survey?
c. What is the probability that at most 10 voters who prefer the Democratic candidate in the survey?
d. What is the probability that more than 10 voters who prefer the Democratic candidate in the survey?
e. What is the probability that between 9 and 11 (including 9 and 11) voters who prefer the Democratic
candidate in the survey?
Transcribed Image Text:Suppose that 67% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 35 people are surveyed at random. ~ [N a. What is the distribution of X? X N (.67 35 Please show the following answers to 4 decimal places. b. What is the probability that exactly 10 voters who prefer the Democratic candidate in the survey? c. What is the probability that at most 10 voters who prefer the Democratic candidate in the survey? d. What is the probability that more than 10 voters who prefer the Democratic candidate in the survey? e. What is the probability that between 9 and 11 (including 9 and 11) voters who prefer the Democratic candidate in the survey?
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