or safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank. Each of the 4 systems detects theft with a probability of 0.89 independently of the others.
The bank, obviously, is interested in the probability that when a theft occurs,at least one of the 4 systems will detect it. What is the probability that when a theft occurs, at least oneof the 4 systems will detect it?
Your answer should be rounded to 5 decimal places.