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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
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 0.88 probability of detecting a missile attack. Answer the following questions using the binomial probability distribution:
(a) | What is the probability that one detection system will detect an attack? |
If required, round your answer to two decimal places. | |
(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? |
If required, round your answer to two decimal places. | |
(c) | If 4 systems are installed, what is the probability that at least one of the systems will detect the attack? |
If required, round your answer to four decimal places. | |
(d) | Would you recommend that multiple detection systems be operated? |
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