A research team has developed a face recognition device to match photos in a database. From laboratory tests, the recognition accuracy is 95% and trials are assumed to be independent. a. If the research team continues to run laboratory tests, what is the mean number of trials until failure? b. What is the probability that the first failure occurs on the tenth trial?

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 research team has developed a face recognition device to match photos in a database.
From laboratory tests, the recognition accuracy is 95% and trials are assumed to be independent.

a. If the research team continues to run laboratory tests, what is the mean number of trials until
failure?

b. What is the probability that the first failure occurs on the tenth trial?  

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