Question: Consider the below Bayesian Network and answer the following questions: P(1) 0.8 I True P(T) 0.7 False 0.3 Intelligent Good Test taker T T

Consider the below Bayesian Network and answer the following questions: P(1) 0.8 I True P(T) 0.7 False 0.3

Consider the below Bayesian Network and answer the following questions: P(1) 0.8 I True P(T) 0.7 False 0.3 Intelligent Good Test taker T T T F F High Score U P(S) T 0.8 F 0.4 T 0.4 F 0.2 Hardworking Understanding [4+3+3=10 Marks] I T T GH F F P(H) 0.7 H T L G P(U) 0.75 F 0.5 T 0.4 F 0.25 a) What is the likelihood of a student achieving a high score given the evidence that, if he/she is not a hardworking student but understanding the concept efficiently? Use exact inference by enumeration to answer with clear steps. b) Apply approximate inference for the same query under above part a). Use likelihood weighing and only 5 samples generated using the below random numbers. ?0.7, 0.3, 0.5, 0.9, 0.45, 0.8, 0.12, 0.6, 0.4, 0.75, 0.25, 0.5, 0.36, 0.3, 0.8, 0.1, 0.6, 0.4, 0.7, 0.2? List the hidden variable in given example for query in above part a) Explain briefly the process of variable elimination using given problem.

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