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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.)

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.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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