sol3.pdf - University of Michigan WINTER 2019 EECS301 Solution to Homework 3 1 RADAR Problem Let A denote the ground reality Let A = 0 correspond to the

sol3.pdf - University of Michigan WINTER 2019 EECS301...

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University of Michigan WINTER 2019 EECS301: Solution to Homework 3 1.RADAR ProblemLetAdenote the ground reality. LetA= 0 correspond to the event that aircraft is not present in theairspace, and letA= 1 denote the event that aircraft is present in the airspace. LetBi= 0 denote the eventthati-th RADAR is saying that aircraft is not present, and letBi= 1 denote the event thati-th RADARis saying that aircraft is present. We know thatP[Bi= 0|A= 0] = 0.9 andP[Bi= 1|A= 1] = 0.9. LetCdenote the decision of the logic circuit. Under the majority vote we get the following logic. If the number
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