A large scale study conducted over a one year period has shown that break-ins at home occur about 6% of the time in the population. The study also shows home security alarms went off 3% of the time when no one was breaking into the home. The security alarm failed to go off 4% of the time when someone was really breaking into the home. If an alarm is going off, what is the probability that the house was broken into?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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A large scale study conducted over a one year period has shown that break-ins at home occur about 6% of the time in the population. The study also shows home security alarms went off 3% of the time when no one was breaking into the home. The security alarm failed to go off 4% of the time when someone was really breaking into the home. If an alarm is going off, what is the probability that the house was broken into?

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