A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is 11%. A nurse will collect data by performing injections with this type of needle until five people experience injection-site reactions. Is it appropriate to use the geometric distribution to calculate probabilities in this situation? A) Yes, the geometric distribution is appropriate. B) No, since each trial is not independent of the other trials. C) No, because it is not looking for the first occurrence of success. D) No, since the probability of success is not the same for each of the trials.

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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A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is 11%. A nurse will collect data by performing injections with this type of needle until five people experience injection-site reactions.

Is it appropriate to use the geometric distribution to calculate probabilities in this situation?

A) Yes, the geometric distribution is appropriate.
B) No, since each trial is not independent of the other trials.
C) No, because it is not looking for the first occurrence of success.
D) No, since the probability of success is not the same for each of the trials.
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