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)0.9400
C)0.3000
D)0.0600

Question

Quizplus · Accepted Answer

The probability that a home has a monitored security system is 20% or 0.20. Given that an alarm is triggered, the probability that the police will answer the call is 30% or 0.30. To find the probability that both events occur, multiply the probabilities: 0.20 * 0.30 = 0.06 or 6%.

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