Consider following Bayesian network and answer 2 questions.

1. Count the general probability of an event (Mixed inference): the general probability that there is an alarm P(Alarm)

2. How high is the probability that there was a burglary, given that both John and Mary called? (diagnostic Inference) P(Burglary =true | JohanCalls = true, MaryCalls = true)

r P(Bur 001 P(Ear) 002 Earthquake98 ar Burglary)-b 0.99 Bur. Ear.AP(AlIBur, Ear) 95 05 94 04 29 71 +a Alarm +a +a +a b ea 0.999 JohnCalls AJ PUAI) 90 MaryCalls)A M PIMIA 30 0.99 +a +m 05 0.95 +m am r P(Bur 001 P(Ear) 002 Earthquake98 ar Burglary)-b 0.99 Bur. Ear.AP(AlIBur, Ear) 95 05 94 04 29 71 +a Alarm +a +a +a b ea 0.999 JohnCalls AJ PUAI) 90 MaryCalls)A M PIMIA 30 0.99 +a +m 05 0.95 +m am