(10 points, adopted from exercise 3.11 in Koller et al.) Consider the following famous Bayesian Network by Judea Pearl. The Alarm Network Burglary) The network is set up to answer questions of the following type: "I'm at work, neighbor John calls to say my alarm is ringing, but neighbor Mary does not call. Sometimes minor earthquakes set it off. Is there a burglar?" One operation on Bayesian Networks that arises in many settings is the marginalization of some node in the network Let the original Bayesian Network be denoted as B. Construct a Bayesian Network B' over all of the nodes EXCEPT for Alarm that is the minimal 1-map for the marginal distribution Pg (B, E, T, NJ,M). Be sure to get all dependencies that remain from the original graph