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2. If an aircraft is present in a certain area, a radar correctly registers its presence with probability .95. If it is not present, the radar falsely registers its presence with probability .03. We assume that aircraft is present with probability .2. (6) Use Notation: A fan aircraft is present), B (the radar registers an aircraft). a) Find the probability of false alarm. b) Find the probability of missed detection. c) Find the probability that an aircraft is not present if it is registered. d) Find the probability that an aircraft is present if it is not registered.

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