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# Application of Law of Total Probability

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Consider a system that generates 10 million audit records per day. Also assume that there are on average 10 attacks per day on this system and that each such attack is reflected in 20 records. If the intrusion-detection system has a true-alarm rate of 0.6 and a false alarm rate of 0.0005, what percentage of alarms generated by the system correspond to real intrusions?

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#### Solution Preview

First, we need to know that the probability of occurrence of intrusive ...

#### Solution Summary

The solution gives detailed steps on finding a percentage of alarms generated by the system using the formula of law of total probability. All formula and calculations are shown and explained.

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