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6. Refer to the table which summarizes the results of testing for a certain disease. Positive Negative Test Result Test Result Subject has the disease 111 4 Subject does not have the disease 11 172 a. In the table, calculate all 5 marginal totals. b. If a result is negative, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? HINT: This is a conditional probability and will involve a marginal total. c. If a result is positive, what is the probability that it is a false positive (test indicates the person does have the disease when in fact they don't)? HINT: This is a conditional probability and will involve a marginal total. Extra Credit: 7. Suppose subjects with a particular disease test positive 98% of the time, and subjects without the disease test positive 4% of the time. 10% of the subjects have the disease. Given that a subject tests positive, what is the probability that they have the disease? HINT: Use Bayes' Rule