(Answered) A large scale study conducted over a one year period has

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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 5% of the time when no one was breaking into the home. The security alarm failed to go off 8% of the time when someone was really breaking into the home. What is the probability that a home has been broken into and the alarm went off?

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