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A diagnostic test carried out during mobile health service program in a community, has indicated that...

A diagnostic test carried out during mobile health service program in a community, has indicated that there is a 71% and 77% chance of giving a positive result when applied to persons suffering from diabetes and cancer, and a 37% and 37% chance of giving a positive (i.e. false) result when applied on non-sufferers of diabetes and cancers. It is estimated that there is 42% and 55% chances that the persons in a particular society are suffering from diabetes and cancer.

1. Suppose that the diagnostic test confirmed a positive test result on a sufferer of diabetes, what is the probability that the person is an actual sufferer of diabetes.

2. Suppose that the diagnostic test confirmed a positive test result on a sufferer of diabetes, what is the probability that the person is a non-sufferer of diabetes.

3. Suppose that the diagnostic test confirmed a negative test result on a sufferer of cancer, what is the probability that the person is an actual suffer of cancer.

4. Suppose that the diagnostic test confirmed a negative test result on a sufferer of cancer, what is the probability that the person is a non-suffer of cancer.
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