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D A test for a particular illness that affects 6% of the general population has the following properties: - The test will show a positive

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D A test for a particular illness that affects 6% of the general population has the following properties: - The test will show a positive in 98% of cases where the patient has the illness and a negative in 2% of such cases. - The test will show a false positive in 7% of patients who do not have the illness and a negative result for 93% of patients who do not have the illness. Note that a positive result means that the test indicates that the patient has the illness. A negative result means that the test indicates that the patient doesn't have the illness. A patient has just been tested and shows a positive result. Assuming all other things being equal, and based on the above information, find the probability that the patient has the illness. Give your answer as a decimal to 2 decimal places. Probability that patient has illness =

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