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.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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