SOLUTION: For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank. Each of the four systems will fail to dete
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Question 1084400: For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank. Each of the four systems will fail to detect theft with a probability of .01 independently of the others.The bank, obviously, is interested in the probability that when a theft occurs, at least one of the four systems will fail to detect it. This probability is equal to:
(.99)^4
1 - (.99)^4
(.01)^4
1 - (.01)^4
none of these
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Pr(at least one systems fail to detect theft) = 1 - P(none of the systems fail to detect theft)
P(none of the systems fail to detect theft) =
So the answer is
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