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

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Question: 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

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)

Consider following Bayesian network and answer 2 questions. 1. Count the general

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

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