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It is estimated that 1% of all people have a particular disease. The test for this...

It is estimated that 1% of all people have a particular disease. The test for this disease has a false positive rate of 2%, and a false negative rate of 3%.

1. Draw a tree diagram for this experiment.

2. Suppose that a person is selected at random and tested. Given that the test is negative, what is probability that the person does not have the disease?

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