Question 5 (6 points): Purpose: A few more complicated calculations, to make the formula concrete The following diagram represents a simple, 4 node Bayesian Network. The nodes represent outcomes F, S, T, A. The Conditional Probability Distributions (CPDs) for these nodes are as follows P(7-0) P(7-1) 001 0.99 P(F-1) 0.99 P(S-OF-0.9 Ps-11F-0) -0.1 P(S-0F-1) -O.OI P(A-1 F-1,T-0) 0.15 P(A-1F-1,T-1) 0.9999 Using this information, answer the following questions (a) Calculate P(A=0|F-0). Hint: Which nodes are not relevant to the query? (b) Calculate P(F-0S-0). Hint: Which nodes are not relevant to the query? (c) Calculate P(A-01S=0). Hint: Which nodes are not relevant to the query? Hopefully you have the idea that numbers can make calculations seem less abstract, but they don't actu- ally buy us anything, and they're a pain in the neck. From now on, we'lljust do the algebra