Consider a Bayes' Net with the following structure (a) Mark all of the following expressions that hold true for distributions P(X1,X2,X3+y1)=P(X1,X2,X3y1)P(Z1,+x3)=x1,x2,y1P(x1)P(x2x1)P(+x3x2)P(y1x1)P(Z1y1)P(Z1,+x3)=x1P(x1)x2P(x2x1)P(+x3x2)y1P(y1x1)P(Z1y1)P(Z3+x1,y3)=P(Z3x1,y3)P(Z3+x1,y3)=P(Z3+x1,+y3)P(Y1,Y2,Y3)=P(Y1)P(Y2)P(Y3) (b) Think about sampling with probability weighting. For the following, fill in the sample's weight and the chance of it being that sample when likelihood weighting is used with the given evidence