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Solved: In a trial, the judge is 65% sure that Susan has
Chapter , Problem 4(choose chapter or problem)
In a trial, the judge is 65% sure that Susan has committed a crime. Julie and Robert are two witnesses who know whether Susan is innocent or guilty. However, Robert is Susans friend and will lie with probability 0.25 if Susan is guilty. He will tell the truth if she is innocent. Julie is Susans enemy and will lie with probability 0.30 if Susan is innocent. She will tell the truth if Susan is guilty. What is the probability that Susan is guilty if Robert and Julie give conflicting testimony?
Questions & Answers
QUESTION:
In a trial, the judge is 65% sure that Susan has committed a crime. Julie and Robert are two witnesses who know whether Susan is innocent or guilty. However, Robert is Susans friend and will lie with probability 0.25 if Susan is guilty. He will tell the truth if she is innocent. Julie is Susans enemy and will lie with probability 0.30 if Susan is innocent. She will tell the truth if Susan is guilty. What is the probability that Susan is guilty if Robert and Julie give conflicting testimony?
ANSWER:Step 1 of 2
Given that,
The judge is 65% sure thatSusan has committed a crime. Julie and Robert are two witnesses who know whether Susan is innocent or guilty.
Robert is Susan’s friend and will lie with probability 0.25 if Susan is guilty. He will tell the truth if she is innocent.
Julie is Susan’s enemy and will lie with probability 0.30 if Susan is innocent. She will tell the truth if Susan is guilty.
It is required to compute the probability that Susan is guilty if Robert and Julie give conflicting testimony.