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Military radars and missile detection systems are intended to warn a country of an enemy attack. A question of reliability is whether the detection system
Military radars and missile detection systems are intended to warn a country of an enemy attack. A question of reliability is whether the detection system will be able to detect an attack and issue a warning. Suppose the probability that a given detection system detects a missile attack is 0.90. Use the binomial probability distribution to answer the following questions. a. What is the probability that a single detection system detects an attack? b. If two detection systems are installed in the same area and they both operate independently, what is the probability that at least one of the systems detects the attack? c. If three systems are installed, what is the probability that at least one of the systems detects the attack? d. Would you recommend using multiple detection systems? Explain
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