Researchers are concerned about the rise in gun violence in their community among the adolescent population. Suppose the researchers believe that this rise in violence is due to an increase in depressive symptoms among the demographic aged 11-17. Suppose the researchers estimate that only 21% of this population suffers from depressive-like symptoms. Use a binomial distribution to solve for the following.  a) What is the probability of finding no one with depressive-like symptoms in a sample of 8?   b) What is the probability that at least 2 respondents of a sample of 8 report these symptoms?   c) What is the expected number of adolescents in the sample to report the symptoms?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Researchers are concerned about the rise in gun violence in their community among the adolescent population. Suppose the researchers believe that this rise in violence is due to an increase in depressive symptoms among the demographic aged 11-17. Suppose the researchers estimate that only 21% of this population suffers from depressive-like symptoms. Use a binomial distribution to solve for the following.

 a) What is the probability of finding no one with depressive-like symptoms in a sample of 8? 

 b) What is the probability that at least 2 respondents of a sample of 8 report these symptoms? 

 c) What is the expected number of adolescents in the sample to report the symptoms? 

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