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 0.80 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions. (a) What is the probability that a single detection system will detect an attack? 0.60 (b) 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? 0.84 (c) If three systems are installed, what is the probability that at least one of the systems will detect the attack? 0.936
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 0.80 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions. (a) What is the probability that a single detection system will detect an attack? 0.60 (b) 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? 0.84 (c) If three systems are installed, what is the probability that at least one of the systems will detect the attack? 0.936
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text: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 0.80 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions.
(a) What is the probability that a single detection system will detect an attack?
0.60
(b) 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?
0.84
(c) If three systems are installed, what is the probability that at least one of the systems will detect the attack?
0.936
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