a) Prove Bayes' Theorem: P(H|E)=[ P(E|H)*P(H) ] / P(E)
from the axioms and definitions introduced in class.
b) Assume that H stands for "The hypothesis is true" and E stands for "There is evidence that supports the hypothesis".
Summarize the main interpretations of probability discussed in the entry probability of the Cambridge Dictionary of Philosophy (Handout #10). Write a few sentences for each interpretation.
Draw a concept map that contains all concepts that you've learned in this class so far.
Put a concept within a circle and connect it to the other concepts or names. Mark the arrows indicating the relation that holds between the concepts, e.g., "is a", or "can be" etc.
You will see an example of a concept map in class on Friday.
The more concepts and connections, the better!