
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question

Transcribed Image Text:A Bayesian Network that represents the relationship between accidents and weather conditions is shown below.
Cloudy?
P(Cloudy)
Cloudy
True
0.75
Fill the joint distribution table from the above Bayesian Network.
Cloudy Freezing Accident P(Cloudy, Freezing, Accident)
True True True
0.2
False
0.05
True True
True False True
True
False
False
False True True
False True False
False False
True
False False
False
Freezing?
P(Freezing)
True
0.333
Freezing
Cloudy?
Freezing?
P(Accident=true❘ Cloudy, Freezing)
Accident
True
True
0.8
True
False
0.5
False
True
0.6
False
False
0.1
Calculate the answers to these queries (hint: the joint distribution can be used to answer any query):
What is the probability that an accident will occur?
What is the probability that it is Cloudy and an Accident occurs?
What is the probability that it is Cloudy if it is known that an Accident occurred?
What is the probability that an accident will not occur if it is known that it is Cloudy and it is Freezing?
![P(Cloudy=True, Freezing=False, Accident=True)
[Choose ]
P(Cloudy=True, Freezing=False, Accident=False)
P(Cloudy=False, Freezing=True, Accident=True)
P(Cloudy=False, Freezing=True, Accident=False)
P(Cloudy=False, Freezing=False, Accident=True)
0.45
0.871
0.2
[Choose ]
P(Cloudy=False, Freezing=False, Accident=False)
[Choose ]
Probability that an accident will occur?
Probability that it is Cloudy and an Accident occurs?
[Choose ]
[Choose ]
Probability that it is Cloudy if it is known that an Accident occurred?
[Choose ]
Probability that an accident will not occur if it is known that it is Cloudy
[Choose ]
and it is Freezing?](https://content.bartleby.com/qna-images/question/1942d21f-1f68-402e-935c-586383b38458/7a07c685-6439-4fb7-834f-56857353c425/e0fvx3i_thumbnail.png)
Transcribed Image Text:P(Cloudy=True, Freezing=False, Accident=True)
[Choose ]
P(Cloudy=True, Freezing=False, Accident=False)
P(Cloudy=False, Freezing=True, Accident=True)
P(Cloudy=False, Freezing=True, Accident=False)
P(Cloudy=False, Freezing=False, Accident=True)
0.45
0.871
0.2
[Choose ]
P(Cloudy=False, Freezing=False, Accident=False)
[Choose ]
Probability that an accident will occur?
Probability that it is Cloudy and an Accident occurs?
[Choose ]
[Choose ]
Probability that it is Cloudy if it is known that an Accident occurred?
[Choose ]
Probability that an accident will not occur if it is known that it is Cloudy
[Choose ]
and it is Freezing?
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