SOLUTION: An apartment complex 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 has a hea

Question 728559: An apartment complex 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 has a heat sensitive activator and has a probability of .95 of operating when it should. Each activator operates independently on the other. Presume a fire starts near a detector. What is the probability that both will work properly?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An apartment complex 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 has a heat sensitive activator and has a probability of .95 of operating when it should. Each activator operates independently on the other. Presume a fire starts near a detector. What is the probability that both will work properly?
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Their operation is an independent event.
Ans: 0.98*0.95 = 0.931
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Cheers,
Stan H.
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