Can someone please show me the steps to getting the probability, I keep getting .0576 but that's not right. Any help would be appreciated.
The question:
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?