Consider the Bayesian Network shown below where all random variables are binary $($e$.$g$.$ Obesity Yes$/$No$,$ Sex Male$/$Female$,$ Age Young$/$old$,$ Total Bilrubin High$/$Low etc.$)$

a$)$ How compact is this network? Explain your answer carefully

b$)$What is the Markov Blanket of each of the following

a$.$ LE Cells

b$.$ Antimytochondrial Antibodies

c$.$ Age

c$)$How many rows would be in the joint probability table for

P$($Obesity$,$ Age,Sex$)$

d$)$Consider the variables: Steatosis, PBC Hyperbilirubinemia. Comment on the role they plan in the design of this network