Please help with homework in Artificial intelligence or Probabilities

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https://drive.google.com/file/d/1Ul17lv7g4rVVbG7dU01tKBqJfmnWVT96/view?usp=sharing

1. What is uncertainty? When can knowledge be inexact and data incomplete or inconsistent? Give an example of inexact knowledge. 2. What is probability? Describe mathematically the conditional probability of event A occurring given that event A occurring given that event B has occurred. What is the Bayesian rule? 3. Why may conditional probabilities be inconsistent with the prior probabilities provided by the expert? Give an example of such inconsistency. . Why is the certainty factors theory considered as a practical alternative to Bayesian reasoning? What is the measure of belief and measure of disbelief? Define a certainty factor. 5. Given the following rules and certainty factors draw the inference network and show all certainty factors. Show calculations for full credit. a. Rule 1: IF A THEN B {cf -0.9} b. Rule 2: IF C THEN D {cf 0.7} C. Rule 3: IF B AND D AND E THEN F {of 0.5} d. Rule 4: IF G THEN F {of -0.5} e . Rule 5: IF FOR H THEN I { of 0.7} f. cf(A) = 1.0 g. cf(C) = -1.0 h. cf(E) = -0.5 1. cf(G) = -0.9 j. cf(H) = 0.6