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Dormitory A Dormitory Has Two Activating Devices in Each Fire Detector.One

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Dormitory
A dormitory has two activating devices in each fire detector.One is smoke activated and has a probability of .98 of sounding an alarm when it should.The second is a heat sensitive activator and has a probability of .95 of operating when it should.Each activator operates independently of the other.Presume a fire starts near a detector.
-What is the probability that both types of activators will work properly?


Definitions:

Shallow Deposits

Geological accumulations of minerals, sediments or other materials that are located near the surface of the Earth.

Separate the Metal

The process of extracting a metal from its ore or mixture, often involving physical or chemical separation techniques.

Outermost Zone

A term typically referring to the furthest or most remote area within a particular boundary or geographical region.

Metamorphic Rock

Rock formed from the transformation of existing rock types through high pressure, high temperature, or both, without melting into liquid magma.

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