Question: Question 1. (100 points) Compute P(P2,2 known, b) in the wumpus world using the formula: P(P2,2known,b)=P(P2,2)frontierP(bknown,P2,2,frontier)P(frontier) The calculation for P(P1,3 known, b) is given below.

Question 1. (100 points) Compute P(P2,2 known, b) in the wumpus

Question 1. (100 points) Compute P(P2,2 known, b) in the wumpus world using the formula: P(P2,2known,b)=P(P2,2)frontierP(bknown,P2,2,frontier)P(frontier) The calculation for P(P1,3 known, b) is given below. We know the following facts (evidence): b=b1,1b1,2b2,1 known =p1,1p1,2p2,1 P(P1,3 known, b )=P(P1,3)frontierP(b known, P1,3, frontier) P( frontier ) First, compute with P1,3= true: Compute the sum over the frontier: P(bknown,p1,3,p2,2,p3,1)P(p2,2,p3,1)P(bknown,p1,3,p2,2,p3,1)P(p2,2,p3,1)P(bknown,p1,3,p2,2,p3,1)P(p2,2,p3,1)P(bknown,p1,3,p2,2,p3,1)P(p2,2,p3,1)=10.20.2=10.80.2=10.20.8=00.80.8=0.04=0.16=0.16=0.00 The sum is: 0.04+0.16+0.16+0.00=0.36.P(p1,3)=0.2, therefore: P(p1,3)frontierP(b known, p1,3, frontier) P( frontier )=0.20.36=0.072. Then, compute with P1,3= false: Compute the sum over the frontier: P(bknown,p1,3,p2,2,p3,1)P(p2,2,p3,1)P(bknown,p1,3,p2,2,p3,1)P(p2,2,p3,1)P(bknown,p1,3,p2,2,p3,1)P(p2,2,p3,1)P(bknown,p1,3,p2,2,p3,1)P(p2,2,p3,1)=10.20.2=00.80.2=10.20.8=00.80.8=0.04=0.00=0.16=0.00 The sum is: 0.04+0.00+0.16+0.00=0.20.P(p1,3)=0.8, therefore: P(p1,3)frontierP(bknown,p1,3,frontierP(frontier)=0.80.20=0.16. P(P1,3 known, b) =

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