Explain how correction is applied when probabilities are zero to get non$-$zero probabilities in Naive Bayes classification. $(5$ points$)$

Using Naive Bayes method, find the class for the test record with height 'medium' and weight "high".

$($a$)$ with the traditional naive bayes independence condition, and $(6$ points$)$

$($b$)$ without the independence condition $(6$ points$)$

Compare and explain the reasons for the differences and what the differences mean intuitively. $(3$ points$)$