A large scale study conducted over a one year period has shown that break-ins at home occur about 7% 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. What is the probability that a home has been broken into and the alarm went off? 0.9600 0.0028 0.9972 0.4328 0.0672 None of the above