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Probability: Detecting an Income Missile

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Assume that a single radar unit used to detect incoming missiles has a probability of 0.90 of correctly detecting an incoming missile attack. Furthermore, assume that four such individual and identical radar units (each with an individual probability of 0.90 of detecting an incoming missile attack) are used to create a radar installation system with the task of detecting incoming missile attacks.
A. What is the probability that a single radar unit correctly detects an incoming missile attack?
B. What is the probability that this multi-radar system correctly detects an incoming missile attack?
C. From the probabilities that you calculated in parts A and B, what is the advantage of the redundancy that is built into this multi-radar system?

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Problem: Assume that a single radar unit used to detect incoming missiles has a probability of 0.90 of correctly detecting an incoming missile attack. Furthermore, assume that four such individual and identical radar units (each with an individual probability of 0.90 of detecting an ...

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  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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