Problem $1$

Consider the random variables $A,B,C,D,E$ whose joint probability distribution $P$ satisfies $B,C.$

a$)$ Find a DAG that satisfies the causal Markov and faithfulness assumption for $P.(1$ point$)$

b$)$ Find the DAG of the underlying SCM that generated this distribution $P.(1$ point$)$

$($Hint: You may use PC for the above questions.$)$