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For safety reasons, three different alarm systems were installed on the property of a famous movie star. Each of the three systems detects when a

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For safety reasons, three different alarm systems were installed on the property of a famous movie star. Each of the three systems detects when a trespass occurs with a probability of 0.98 independently of the others. The movie star, obviously, is interested in the probability that when a trespass occurs, at least one of the three systems will detect it. What is the probability that when a trespass occurs, at least one of the systems will detect it? 0 1 - (0.98)3 O 3 * (0.98) (0.02)2 0 1 - (0.02)3 (0.02) 3 O (0.98) 3

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