Arobotic machine’s software uses Bayesian filter to measure its intelligence in processing legal cases to determine whether a judgement made by judges are fair or not.A set of cases were fed into the memory of the robot for processing in determining fairness. Let P (J) =0.25 be the probability of cases brought to the courts with judgement made. Let P(E/J) =0.33 be the probability that a case that was judged was based on evidences presented before the court. Let P (E/J') =0.87 be the probability that some evidences were not used in the judgement even though they were resented before the court. Assuming you are part of the research team that induces the intelligence into the machine, solve the following questions below. 7. What will be the total probability of P(J’/E)? 8. What will be the total probability of P(J/E)? 9. What will be the total probability of P(J’/E’)? 10. What will be the total probability of P(J/E’)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Arobotic machine’s software uses Bayesian filter to measure its intelligence in processing legal
cases to determine whether a judgement made by judges are fair or not.A set of cases were fed
into the memory of the robot for processing in determining fairness. Let P (J) =0.25 be the
probability of cases brought to the courts with judgement made. Let P(E/J) =0.33 be the
probability that a case that was judged was based on evidences presented before the court. Let P
(E/J') =0.87 be the probability that some evidences were not used in the judgement even though
they were resented before the court.
Assuming you are part of the research team that induces the intelligence into the machine, solve
the following questions below.


7. What will be the total probability of P(J’/E)?
8. What will be the total probability of P(J/E)?
9. What will be the total probability of P(J’/E’)?
10. What will be the total probability of P(J/E’)?

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