In a trial, the judge is 65% sure that Susan has committed

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QUESTION:

In a trial, the judge is 65% sure that Susan has committed a crime. Robert is a witness who knows 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. What is the probability that Robert will commit perjury?

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QUESTION:

In a trial, the judge is 65% sure that Susan has committed a crime. Robert is a witness who knows 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. What is the probability that Robert will commit perjury?

ANSWER:

Step 1 of 3

Given:

The percentage that Susan is guilty is 65%.

The probability thatRobert will lie if Susan is guilty is 0.25.

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