(b) Suppose that 6 in 100 people (i.c. 6%) have a particular disease. A diagnostic test for the disease has 80% sensitivity, i.e. if a person has the disease, the test will give a positive result with a probability of 0.80. The test has 90% specificity, i.e. if a person does not have the disease, the test will give a negative result with a probability of 0.90. Calculate the probability that a person does not have the disease, given that the person has received a negative test result.
(b) Suppose that 6 in 100 people (i.c. 6%) have a particular disease. A diagnostic test for the disease has 80% sensitivity, i.e. if a person has the disease, the test will give a positive result with a probability of 0.80. The test has 90% specificity, i.e. if a person does not have the disease, the test will give a negative result with a probability of 0.90. Calculate the probability that a person does not have the disease, given that the person has received a negative test result.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:(b) Suppose that 6 in 100 people (i.e. 6%) have a particular disease. A diagnostic
test for the disease has 80% sensitivity, i.e. if a person has the disease, the
test will give a positive result with a probability of 0.80. The test has 90%
specificity, i.e. if a person does not have the disease, the test will give a negative
result with a probability of 0.90. Calculate the probability that a person does
not have the disease, given that the person has received a negative test result.
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