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6) In a country with a population of hundreds of millions, where capital punishment is legal, 10000 individuals are charged and tried for murder every year, and those convicted of murder are put to death. Past records consistently indicate that out of those tried, 95% are truly guilty and 5% are truly innocent. Out of those who are truly guilty, 95% are convicted and 5% are wrongly set free, and out of those who are truly innocent, 5% are wrongly convicted, and 95% are set free. Determine the probability that a person who is tried is truly innocent, but wrongly convicted of murder.

6) In a country with a population of hundreds of millions, where capital punishment is legal, 10000 individuals are charged and tried for murder every year, and those convicted of murder are put to death. Past records consistently indicate that out of those tried, 95% are truly guilty and 5% are truly innocent. Out of those who are truly guilty, 95% are convicted and 5% are wrongly set free, and out of those who are truly innocent, 5% are wrongly convicted, and 95% are set free. Determine the probability that a person who is tried is truly innocent, but wrongly convicted of murder.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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6) In a country with a population of hundreds of millions, where capital punishment is legal, 10000 individuals are charged and tried for murder every year, and those convicted of murder are put to death. Past records consistently indicate that out of those tried, 95% are truly guilty and 5% are truly innocent. Out of those who are truly guilty, 95% are convicted and 5% are wrongly set free, and out of those who are truly innocent, 5% are wrongly convicted, and 95% are set free. Determine the probability that a person who is tried is truly innocent, but wrongly convicted of murder.
Transcribed Image Text:6) In a country with a population of hundreds of millions, where capital punishment is legal, 10000 individuals are charged and tried for murder every year, and those convicted of murder are put to death. Past records consistently indicate that out of those tried, 95% are truly guilty and 5% are truly innocent. Out of those who are truly guilty, 95% are convicted and 5% are wrongly set free, and out of those who are truly innocent, 5% are wrongly convicted, and 95% are set free. Determine the probability that a person who is tried is truly innocent, but wrongly convicted of murder.
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