Mathematics, 08.10.2019 23:30, ezelle
For safety reasons, 3 different alarm systems were installed in the vault containing the safety deposit boxes at a beverly hills bank. each of the 3 systems detects theft with a probability of 0.86 independently of the others. the bank, obviously, is interested in the probability that when a theft occurs, at least one of the 3 systems will detect it. what is the probability that when a theft occurs, at least oneof the 3 systems will detect it?
Answers: 2
![1-^3C_0(0.86)^0(1-0.86)^3\\\\=1-(1)(1)(0.002744)\ [\becuase ^nC_0=1]\\\\=1-0.002744=0.997256](/tpl/images/0301/7670/4df07.png)
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