In the following Bayesian Network, B, E, A, J, and M denote binary probability variables which denote ‘Burglary’, ‘Earthquake’, ‘Alarm’, ‘John's Call’, and ‘Mary's Call’, respectively, and b, e, a, j, and m represent the events which actually happen (i.e. true events), respectively. Calculate (answer and process) the following probabilities:

1) P(m|b)

2) P(b|j)

 

J P(B) 0.01 A P(J) .90 .05 f A E BE t t f f t f t f M P(E) 0.02 P(A) .95 .85 .25 .01 A t f P(M) .80 .02