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Military radar and missile detection systems are designed to warn a country of an enemy attack.
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A reliability question is whether a detection system will be able to identify an attack and issue a warning.
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Assume that a particular detection system has a 0 .70 probability of detecting a missile attack.
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Use the binomial probability distribution to answer the following questions.
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Part a, what is the probability that a single detection system, so n equals 1, will detect an attack? so if n equals 1, we can just take, it's just the probability is going to be 0 .70.
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For part b, if two detection systems are installed, so now n equals 2, what is the probability that at least one of the systems will detect the attack? so probability that x is greater than equal to 1.
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Now we could do this two ways.
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We can find the probability of 1 and 2, or we could find the probability of 0...