(All Steps) It is estimated that exactly 2.5 \% of adult cats in the United States have, or will eventually get, feline AIDS. Because the test for feline


Question: It is estimated that exactly \(2.5 \%\) of adult cats in the United States have, or will eventually get, feline AIDS. Because the test for feline AIDS detects an antibody and not the disease itself, not every positive test means that a cat will eventually get feline AIDS. If a cat will eventually get feline AIDS, the cat will test positive \(99.6 \%\) of the time. If a cat will not get feline AIDS, the cat will test positive \(5.3 \%\) of time. Suppose that a randomly selected cat tests positive for feline AIDS. Determine the probability that the cat eventually will get feline AIDS.

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