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Detecting Missile Attacks. Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a
Detecting Missile Attacks. Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a .90 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions: p=Probability of success (detecting an attack), n= number of detection systems, x=number of successes can take values from 0, 1, 2,...n Q5. 1 What is the probability that a single detection system will detect an attack? Hint: First compute n and x Q5. 2 If two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack? Hint: First compute n and x. You can use the BINOMDIST function in Excel Q5. 3 If three systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack? Hint: First compute n and x. You can use the BINOM.DIST function in Excel Q5. 4 Would you recommend that multiple detection systems be used? Explain
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