Question 2. Considering that there are three events we are modeling. E: the electricity power is supplied. T: the teacher (Amelia) comes for the class. C: we have a COMP1003&1433 class. (1) Suppose the probability that the teacher (Amelia) comes for the class is 0.9. Further, if the teacher comes, the probability that we have the class is 0.884; otherwise (if the teacher does not come), the probability that we still have the class is 0.095. Then, given the condition that the class of COMP1003&1433 has been held, what is the probability that the teacher came (for the class)? (10') (2) In the context of (2), the conditional probability that we have the class given the teacher comes (P(C|T)) provided in (1) is unavailable. We need to derive it with the help of the observations from electricity pow i.e., E. The following lists some available information: P(CET) = 0.93 P(CET) = 0.1 P(CET)=P(CET) = 0 P(E)=0.95 . In addition, the supply of electricity power (E) and the present of the teacher (T) are independent. Derive P(C|7) from the above information? (10")