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 16% 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?
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 16% 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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text: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 16% 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?
O
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