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Low Intelligence Average 0.3 High 0.04 Grade 0.1 0.06 B 0.06 0.3 0.1 0.3 0.04 Figure 1: Joint probability for student grade and intelligence Question 1: Basic Knowledge (Total 25 marks) 1. Which learning task best suits the following description: given a set of training instances {(x(1), y(1)),... , (z(m), y(n))} of an unknown target function f, where x() is the feature vec- tor and y(i) is the label for i E {1,...,n}, it outputs a model h that best approximates f. 2 marks (a) Unsupervised learning (b) Supervised learning (c) Reinforcement learning (d) none of the above 2. Compute the following probability according to the table in Figure 1 P(Intelligence = High) = 2 marks (a) 0.28 (b) 0.3 (c) 0.35 (d) 0.2 3. Compute the following conditional probability according to the table in Figure 1 P(Intelligence = High Grade = C) = 2 marks (a) 0.04/0.44 (b) 0.07/0.25 (c) 0.35/0.7 (d) 0.28/0.7 -5 -1 1 2 3 -1 Figure 2: Diagram for y = x function A: Diseases B: Symptom A P(A) a al 0.7 P(BA) P(BA) b b1 0.3 0.2 0.8 B a1 0.4 0.6 Figure 3: Probabilistic Graph of Diseases and Sympton (a) minx=1 (b) min, x = 0 (C) 0 is in arg min, 22 (d) is in arg min, x2 5. Use the information provided in Figure 3 to compute the following joint probability P(A = a', B = b) = 2 marks (a) 0.06 (b) 0.36 (c) 0.24 (d) 0.42 6. Use the information provided in Figure 3 to compute the following expression max P(A, B) = A,B (a) 0.42 (b) a?,61 (C) 0.28 (d) a, 61