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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?

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?

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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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?
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?
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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