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 4% of the time when no one was breaking into the home. the security alarm failed to go off 3% 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 did not go off?

Answer 1

Answer:

0.0018

Explanation:

The computation of the probability in the case when the home is broken and the alarm did not go off is shown below:

= P(Broken into) × P(Alarm did not go off)

= 0.06 × 0.03

= 0.0018

By multiplying the broker into with the alarm did not go off so that the probability could come and the same is to be considered