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 0.85 independently of the others. es. 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 one of the 3 systems will detect it? Your answer should be rounded to 4 decimal places.

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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
0.85 independently of the others.
es.
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 one of the 3 systems will detect it?
Your answer should be rounded to 4 decimal places.
Transcribed Image Text: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 0.85 independently of the others. es. 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 one of the 3 systems will detect it? Your answer should be rounded to 4 decimal places.
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Here the given information is

For safety reasons, 3 different 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 0.85 independently of the others. 

i.e. 

   P = 0.85

    q = 1-0.85 = 0.15

n = 3 

  Also we know that 

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