Calculate $P(Y|x),$ that is $P(Y_1,Y_2|x_{11}=T,x_{21}=F,x_{12}=T,x_{22}=T).$ What is the MAPWe are given the following Bayesian network structure G$.$We are given the following Markov network structure, $H.$

a$.$ Find a minimal I$-$Map Bayesian network structure $G_1$ for $H.$ Use the variable order

of $A,B,C,D,E.$

b$.$ Find a minimal I$-$Map Bayesian network structure $G_2$ for $H.$ Use the variable order

of $E,D,C,B,A.$

c$.$ Is $G_1$ a $P-$Map for $H?$ If not, which independencies are missing?

d$.$ Is $G_2$ a P$-$Map for $H?$ If not, which independencies are missing?

a$.$ Find a minimal I$-$Map Markov network structure $H$ for $G.$ Use any

method$/$variable order you like; make sure $H$ is a minimal I$-$Map.

b$.$ Is $H$ a $P-$Map for $G?$ If not, which independencies are missing?

assignment to $Y$ given $x?$ Show your work.