Question

Problem 2: Let's say we have training data on 1000 pieces of fruit and among them 500 are bananas, 300 are oranges and 200 are other fruits. We consider 3 features of each fruit, whether it's long or not, sweet or not and yellow or not, as displayed in the table below Long Sweet Yellow Fruit Banana 400 350 Orange0 Other 450 300 50 150 100 150 Now given an addition fruit with the features: Long, Sweet and Yellow, what is your prediction, the fruit is a banana, an orange or an other fruit? Why? Hints: Based on the data, find the probabilities p(banana)-?, p(orange)-? p(other)-?, p(Long | banana)-?, p(Sweetl banana)-?, p(Yellow | banana)? etc and note p(banana | Long,Sweet, Yellow) p (Long | banan) p(Sweet | banana) p(Yellow | banana)p(banana) p(Long, Sweet, Yellow) p (orange \ Long, Sweet, Yellow) p (Long | orange) p(Sweet l orange) p(Yellow | orange)p(orange) p (Long, Sweet, Yellow) p(other | Long, Sweet, Yellow) p(Long | other) p(Sweet | other) p(Yellow | other)p(other) p(Long, Sweet, Yellow)

Answer 1