What is the probability that system will make mistake

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A company has installed five intrusion-detection devices in an office building. The devices are very sensitive and, on any given night, each one has a 0.1 probability of mistakenly sounding an alarm when no intruder is present.

If two or more of the devices are activated on the same night, the intrusion system automatically sends a signal to the local police.

If no intruder is present on a given night, what is the probability that the system will make the mistake of calling the police?

Reference no: EM131404144

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