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3. (Car theft problem. The police department at Bayesville have a theory that the probability of a car is stolen is dependent on three attributes

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3. (Car theft problem. The police department at Bayesville have a theory that the probability of a car is stolen is dependent on three attributes of the car: color (red, yellow or blue), type (sports or family) and origin (domestic or imported). The police department has observed the following ten cases with the car stolen or not. No. Color Red Stolen? Yes No | Type Sports Sports Sports Sports Sports Red Red Yellow Yellow Origin Domestic Domestic Domestic Domestic Imported Yes No Yes No Yellow Yellow Yellow Red Red Vallow Family Family Family Family Sports Imported Imported Domestic Imported Imported Yes No No Yes 10 Derive a Nave Bayes model to predict the probability of any car being stolen from its attributes, and use the model to compute the probability of a car of the attributes (Red, Family, Domestic}

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