Table $1$: Dataset

Q$7(30$ points$)$ Consider the following dataset comparing apples and oranges based on a few factors. Say we

want to classify new fruits as apples or oranges.

$(1)[5$ points$]$ Write down the Na$$ve Bayes Classification Formula. What is the Na$$ve Bayes assumption?

$(2)[5$ points$]$ Say we want to classify a new fruit with Color $=$ Orange, Taste $=$ Sour, Texture $=$ Hard. With the

dataset above, can we ever classify this fruit as an apple? What about an orange? Why or why not?

$(3)$ points