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Binomial probability distribution of a Military Radar

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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 system to identify an attack and issue a warning. Assume that a particular detection system has a 0.90 probability of detecting a missile attack. Answer the following questions using the binomial probability distribution.

a) what is the probability that 1 detection system will detect an attack

b) 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

c) if 3 systems are installed, what is the probability that at least 1 of the systems will detect an attack?

d) Would you recommend that multiple detection systems be operated? Explain

Note: In addition to the answers, please include the solution(how you arrived at the answers).

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Probability calculations using binomial probability distribution is provided.

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