The one$-$dimensional class$-$conditional feature pdfs for a $2-$category classification problem havetriangular shapes: p$($x$|1)=1$ x$/2$ for $0<$ x $<2$ and zero elsewhere; p$($x$|2)=($x$-1)/2$ for$1<$ x $<3$ and zero elsewhere.a$)$ Derive the Bayes classifier, assuming equal a priori probabilities.b$)$ Find the location of the decision boundary