Military Radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with the ability of the detection system to identify an attack and issue the warning. Assume that a particular detection system has a 0.85 probability of detecting a missile attack. Answer the following questions using the Binomial probability distribution. What is the probability that 1 detection system will detect an attack? If 2 detection systems are installed in the same area and operate independently, what is the probability that at least 1 of the systems will detect the attack? If 3 systems are installed, what is the probability that at least 1 of the systems will detect the attack?
Military Radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with the ability of the detection system to identify an attack and issue the warning. Assume that a particular detection system has a 0.85
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What is the probability that 1 detection system will detect an attack?
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If 2 detection systems are installed in the same area and operate independently, what is the probability that at least 1 of the systems will detect the attack?
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If 3 systems are installed, what is the probability that at least 1 of the systems will detect the attack?
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Would you recommend that multiple detection systems be operated? Explain.
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