3. Consider a criminal court murder case. The possible evidence for or against an accused suspect is: E1= accused had a quarrel with the victim, E2= accused had the victim's wallet in their pocket E3= fingerprints of the accused were on the murder weapon, E4= the accused has an alibi. Based on available evidence the jury will find the accused as either guilty (1) or nonguilty (0). Historical data was collected from five previous murder investigations as follows (1 means evidence was present, 0 means evidence was absent) GUILTY E1 1 0 1 E2 1 0 E3 1 1 0 E4 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 1 0 For a new murder case, the suspect is Jekyll. Jekyll had a quarrel with the victim. Jekyll had the victim's wallet in his pocket. Jekyll's fingerprints are on the gun. Jekyll does not have an alibi. Use the Bayesian formula to answer the following: What is the probability that Jekyll will be found guilty?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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3. Consider a criminal court murder case. The possible evidence for or against an accused suspect is:
E1= accused had a quarrel with the victim, E2= accused had the victim's wallet in their pocket
E3= fingerprints of the accused were on the murder weapon, E4= the accused has an alibi.
Based on available evidence the jury will find the accused as either guilty (1) or nonguilty (0).
Historical data was collected from five previous murder investigations as follows (1 means evidence was
present, 0 means evidence was absent)
E2
GUILTY
E1
1
0
1
0
1
0
E3
1 0 1
1
0
1
E4
1
0
0
0
0
1
1
0
0 0
1 0
For a new murder case, the suspect is Jekyll. Jekyll had a quarrel with the victim. Jekyll had the victim's
wallet in his pocket. Jekyll's fingerprints are on the gun. Jekyll does not have an alibi.
Use the Bayesian formula to answer the following:
What is the probability that Jekyll will be found guilty?
1
Transcribed Image Text:3. Consider a criminal court murder case. The possible evidence for or against an accused suspect is: E1= accused had a quarrel with the victim, E2= accused had the victim's wallet in their pocket E3= fingerprints of the accused were on the murder weapon, E4= the accused has an alibi. Based on available evidence the jury will find the accused as either guilty (1) or nonguilty (0). Historical data was collected from five previous murder investigations as follows (1 means evidence was present, 0 means evidence was absent) E2 GUILTY E1 1 0 1 0 1 0 E3 1 0 1 1 0 1 E4 1 0 0 0 0 1 1 0 0 0 1 0 For a new murder case, the suspect is Jekyll. Jekyll had a quarrel with the victim. Jekyll had the victim's wallet in his pocket. Jekyll's fingerprints are on the gun. Jekyll does not have an alibi. Use the Bayesian formula to answer the following: What is the probability that Jekyll will be found guilty? 1
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