Solve the AI Proplems please.

If the Probabilistic Agent in section 12.7. (The. Wumpes Werld Revisited on poge 422 finds a heceie in the {1.3} spuare, it coneludes that there must be a pit in square [2,2, as solved below. 0.20.8=0.8=0.1280.20.20.8=0.0320.20.20.2=0.008P(P22known,b)=a(0.2(20.128+20.032+0.000),0.8(0))=(0.0656,0)={1,0) Problem 1) What are the probabilities of a pit in [1,4},2,3], and {3,1] ? Figare 2. After finding a broeze in 2:1h,11, [2,3],{3,3], and [4,3}, the agent is aluck again. Problem 2) Which square should the agent move to? Problem 3) What is the most infuential quantity that reduced the agent's perplexity in the Wampus world example