Q$2[10$ Points$]$ : Generative Classifier :

Let us consider the IRIS dataset where we focus on $x$ variable SepalLength and our target

variable Species. In this dataset, there are three classes Y : Setosa, Versicolor, and Virginia

which have equiprobability as their priors. Fit the Gaussian Distribution for each class using $(5,$

$0\mathrm{.}34$ and $(6\mathrm{.}98,0\mathrm{.}62)$ as mean and variance respectively for Setosa, Versicolor

and Virginia. Predict the posterior probability $P(x=7,Y=$SETOSA$),P(x=7,Y=$VERSICOLOR$),$

and $P(x=7,Y=$VIRGINIA$).$ Please write the Python code to perform the same and verify your

results as computed aforementioned. Please write full steps in justification of your code and

verification of your results.