A certain disease is known to be found in women over 60 with probability 0.03. A blood test for the detection of the disease is known to incorrectly give a negative result 18% of the time and incorrectly give a positive result 2% of the time. If a woman over 60 has taken the test and received a negative result, what is the probability that she has the disease?

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03-06-2024
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A certain disease is known to be found in women over 60 with probability 0.03. A blood test for the detection of the disease is known to incorrectly give a negative result 18% of the time and incorrectly give a positive result 2% of the time. If a woman over 60 has taken the test and received a negative result, what is the probability that she has the disease?

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