A certain disease is known to be found in women over 60 with probability 0.04. A blood test for the detection of the disease is known to incorrectly give a negative result 20% of the time and incorrectly give a positive result 3% 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? The probability is (Round to five decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A certain disease is known to be found in women over 60 with probability 0.04. A blood test for the detection of the
disease is known to incorrectly give a negative result 20% of the time and incorrectly give a positive result 3% 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?
The probability is
(Round to five decimal places as needed.)
Transcribed Image Text:A certain disease is known to be found in women over 60 with probability 0.04. A blood test for the detection of the disease is known to incorrectly give a negative result 20% of the time and incorrectly give a positive result 3% 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? The probability is (Round to five decimal places as needed.)
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