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According to a Pew Research study in 2006, 75% of adults prefer to watch movies at home over going to a theater. A group of theater owners selects a random sample of 200 adults in their area to see how many prefer to watch movies at home. Is a Normal model a useful approximation for the Binomial in this situation? Why or why not? A. No; since the probabilities are not independent. B. No; since these are not Bernoulli trials. C. Yes; since the likelihood of success is 150 and the likelihood of failure is 50. D. Yes; since the likelihood of success and failure is less than 10 each.

According to a Pew Research study in 2006, 75% of adults prefer to watch movies at home over going to a theater. A group of theater owners selects a random sample of 200 adults in their area to see how many prefer to watch movies at home. Is a Normal model a useful approximation for the Binomial in this situation? Why or why not? A. No; since the probabilities are not independent. B. No; since these are not Bernoulli trials. C. Yes; since the likelihood of success is 150 and the likelihood of failure is 50. D. Yes; since the likelihood of success and failure is less than 10 each.

College Algebra
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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I can't seem to figure out whether a normal model is appropriate here or not.

According to a Pew Research study in 2006, 75% of adults prefer to watch movies at home over going to a theater. A group of theater owners selects a random sample of 200 adults in their area to see how many prefer to watch movies at home. Is a Normal model a useful approximation for the Binomial in this situation? Why or why not? A. No; since the probabilities are not independent. B. No; since these are not Bernoulli trials. C. Yes; since the likelihood of success is 150 and the likelihood of failure is 50. D. Yes; since the likelihood of success and failure is less than 10 each.
Transcribed Image Text:According to a Pew Research study in 2006, 75% of adults prefer to watch movies at home over going to a theater. A group of theater owners selects a random sample of 200 adults in their area to see how many prefer to watch movies at home. Is a Normal model a useful approximation for the Binomial in this situation? Why or why not? A. No; since the probabilities are not independent. B. No; since these are not Bernoulli trials. C. Yes; since the likelihood of success is 150 and the likelihood of failure is 50. D. Yes; since the likelihood of success and failure is less than 10 each.
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