2. [10 points] Given the full joint distribution shown in Figue 1. What are the following probabilities: (a) P(toothache). (b) P(Cavity). (c) P(Toothache | cavity). (d) P(Cavity | toothache V catch). 1 CPSC 4310/5310/7310 Assignment 1 2. toothache - toothache catch cavity 0.108 cavity 0.016 -catch 0.012 0.064 catch 0.072 0.144 -catch 0.008 0.576 Figure 1: A full joint distribution for the Toothache, Cavity, and Catch world