A poll is given, showing 51% are in favor of a new building project. Let X be the number of people who favor the new building project when 28 people are chosen 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 11 people out of 28 favor the new building project? c. What is the probability that at least 11 people out of 28 favor the new building project? d. What is the probability that more than 11 people out of 28 favor the new building project? 14/h it in th

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A poll is given, showing 51% are in favor of a new building project. Let X be the number of people who
favor the new building project when 28 people are chosen 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 11 people out of 28 favor the new building project?
c. What is the probability that at least 11 people out of 28 favor the new building project?
d. What is the probability that more than 11 people out of 28 favor the new building project?
e. What is the probability that between 7 and 16 (including 7 and 16) people out 28 favor the new
building project?
Transcribed Image Text:A poll is given, showing 51% are in favor of a new building project. Let X be the number of people who favor the new building project when 28 people are chosen 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 11 people out of 28 favor the new building project? c. What is the probability that at least 11 people out of 28 favor the new building project? d. What is the probability that more than 11 people out of 28 favor the new building project? e. What is the probability that between 7 and 16 (including 7 and 16) people out 28 favor the new building project?
Expert Solution
Step 1

given data, p(favor of a new building project) = 0.51x= no of people who favor the new building project n=28 

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