Problem 7 (13 pts) Consider the following belief network about blood tests (positive or negative), diseases, and symptoms: Teatl Teat2 Teat3 Diseaae1 Disaase2 SymptomSymptom2Symptom3 For the following first three questions, explain your answers, but for the last two, just give your answers. To explain your answers: if yes, either show the d-separation by enumerating all undirected paths between the two variables in question or pointing out an obvious pattern in all such paths; and if no, give a path showing that the d-separation is not true; 1. Are Test1 and Test2 independent? 2. Are Disease1 and Disease2 independent? 3. Are Disease1 and Disease3 independent? 4. Describe set E under which Disease1 and Disease2 are conditionally independent 5. Describe set E under which Disease1 and Disease3 are conditionally independent