The following 2 classes dataset is available: $$ C_{1}=\left \{ 17,18,19,20,21 \right \},C_{2}=\left \{ 12,14 \right \} $$ If we assume each class distribution is gaussian, To which class does x=16 belong with Bayes classifier?
In my opinion, we should use Bayes rule as the following: But it takes a long time to calculate.
Is another solution suggested?