Disjunction

  1. When are the following statements true? The following symbols are used: ~ - negation, - disjunction, & - conjunction, -> - implication p & ~p v q ~(x v y) = ~x & ~ y ~(a -> ~b) 2. Suppose the following patient's data is in the system: age = 27, weight = 150, height = 55. Which alert will be produced by the rule below? IF age < 50 OR weight < 120 THEN ALERT 1 ELSE IF weight/height > 3 AND age > 27 ALERT 2 ELSE ALERT 3 3. Suppose that A={Diabetes, Cancer, COPD} are diagnoses for patient 1, B={Cancer, Dementia, AIDS} are diagnoses for patient 2, and C={Diabetes, Liver Disease} What are contents of sets: AB, AC, CB? For all three sets, describe in own words their meaning 4. If p(A)=0.5, p(B) = 0.25, and A and B are independent. - what is value of p(A&B)? - what is value of p(A|B)?