Answer the following with plagiarism free justifications and examples.

$]=[6$ mark

A$.$ Provide detailed explanation of any $2$ real$-$life applications where soft clustering approachehcan be applied.

B$.$ You are asked to apply EM to train Gaussian Mixture model to cluster the $2-$dimentional dataset given below, into $2$ Gaussian components. Assuming $0$ and $1$ are the centers of Gaussian components after Nth iteration of EM$.$ Answer the following:

In which direction $0$ and $1$ move in the next iteration of EM $($in M$-$Step$)?$

ii$.$ Will maximal likelihood increase or decrease in the next iteration of EM$?$ Explain your stance

Cptions