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Problem 3: A country has developed a missile defense shield to defend the nation against incoming enemy fifth generation fighter jets, and attack drones. This

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Problem 3: A country has developed a missile defense shield to defend the nation against incoming enemy fifth generation fighter jets, and attack drones. This single shield contains a battery of 5 trucks with missiles, radar system and a command unit. Any missile defense system is designed keeping in mind the reliability of the system. This missile defense shield known as fool-proof has a probability of 90% to identify enemy aircraft. a. If three fool-proof systems are installed in the same area and operate independently, what is the probability that only one fool-proof system will detect an enemy aircraft? b. If two fool-proof systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect an enemy aircraft? c. If three fool-proof systems are installed, what is the probability that at least one of the systems will detect an enemy aircraft? d. If 100 fool-proof systems installed, approximate the probability that at least 88, but at most 92 will an enemy aircraft. Solution

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