Tests for tuberculosis like all other diagnostic tests are not perfect. qft-g is one of such tests for tuberculosis. suppose that for the population of adults that is taking the test, 5% have tuberculosis. the test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. suppose that pos stands for the test gives a positive result and s means that the adult really has tuberculosis. what is the probability of an adult getting a pos result and truly not having tuberculosis?

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?