If an aircraft is present in a certain area, a radar correctly registers its presence with probability 0.99. if it is not present, the radar falsely registers an aircraft presence with probability 0.10. we assume that an aircraft is present with probability 0.05. what is the probability of false alarm (a false indication of aircraft presence), and the probability of missed detection (not registered, even though an aircraft is present)? what is the probability that an aircraft is present given that the radar registers a presence?
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Step-by-step explanation:
the probability of false alarm = 0.95 x 0.1
= 0.095
the probability of missed detection = 0.05x0.01
= 0.0005
the probability that an aircraft is present given that the radar registers a presence
= 0.05x0.99
= 0.0495
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