7. In the basic diagnostic test setting, a disease is either present (D = 1)

or absent (D = 0), and the test indicates either disease (T = 1) or no disease (T = 0). Represent P(D = d|T = t) in terms of test sensitivity, P(T = 1|D = 1), specificity, P(T = 0|D = 0), and disease prevalence, P(D = 1), and relate to Bayes’ theorem (1.4).