A fire detection device uses 4 temperature sensors that work independently so that any one of them

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A fire detection device uses 4 temperature sensors that work independently so that any one of them can activate an alarm. If the temperature reaches 200oF, each sensor has probability 0.8 of activating the alarm.

(a) Find the probability that the alarm is not activated when the temperature reaches 200oF.

(b) Find the probability that the alarm is activated when the temperature reaches 200oF.

(c) Find the probability that at least 2 sensors work when the temperature reaches 200oF.

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