In a particular town, 20% of the homes have monitored security systems. If an alarm is triggered, the security system company will contact the local police to alert them of the alarm. Of all the alarm calls that the local police receive, they only have the manpower to answer 30% of the calls. Suppose we randomly sample one home that was broken into over the last month from this town. What is the probability that this home has a monitored security system and that the police answered the alarm call?
A) 0.2000
B) 0.3000
C) 0.0600
D) 0.9400

Question

Quizplus · Accepted Answer

The probability that a home has a monitored security system is 0.20. The probability that the police answer an alarm call is 0.30. Therefore, the probability that a home has a monitored security system and the police answered the alarm call is 0.20 * 0.30 = 0.0600.

In a Particular Town, 20% of the Homes Have Monitored