Exercise 1……………………………………………………………………………………………………………………………...… [2pts] Given the following artificial neural network (Perceptron) x1 x2 x3 y x1 8 1 3 -1 (y1) x2 8 4 7 1 (y2) x3 5 4 7 -1 (y3) Simulate a...

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Exercise 1……………………………………………………………………………………………………………………………...… [2pts] Given the following artificial neural network (Perceptron) x1 x2 x3 y x1 8 1 3 -1 (y1) x2 8 4 7 1 (y2) x3 5 4 7 -1 (y3) Simulate a complete iteration of the perceptron-learning algorithm using three learning samples. The learning step is set to 0.1 and the initial weights are w1 = 1, w2 = 2 and w3 = 1. Exercise 2: ……………………………………………………………………………………………………………...… [1.5pts] Complete the following Bayesian Networks if possible. 1.Age Sex Exposure to toxic products (E) Smoke (S) Cancer (C) 2. 3. Provide the corresponding joint probability formulas. Exercise 3: ………………………………………………………………………………………………………………...… [1.5pts] In a population of persons, 30% are smokers and 20% have respiratory disease. 50% of smokers are affected by the disease. What is the probability that a person affected by the disease is also smoker?