The following table is taken from \"The Color of Justice: Racial and Ethnic Disp

Question

The following table is taken from "The Color of Justice: Racial and Ethnic Disparity in State Prisons by Ashley Nellis, www.sentencingproject.org. Since the early 2000s, New Jersey has been reforming its judicial system to help lower the disparity in incarceration rates between Caucasian and African American people. The following table displays the prison population breakdown by race in 2000 prior to the reforms and in 2014 after the reforms have taken effect. Use it to answer the following questions Year 2000 Year 2014 Total Caucasian 5665 4570 10235 African Americarn 18716 13170 31886 Total 24381 17740 42121 a. Ifone New Jersey prisoner is randomly selected from this study, find the probability that this prisoner is African American? b. If a prisoner from 2014 is randomly selected from this study, find the probability that this prisoner is African American. Find the probability that a Caucasian prisoner surveyed would have been in jail during the 2000 survey c. d. Find the probability that a prisoner surveyed in 2000 is African American.

Explanation / Answer

a)

P(African American)=31886/42121=0.757010

b)

P(African American|Year 2014)=13170/17740=0.742390

c)

P(Caucasian|Year 2000) =5665/24381=0.232353

d)

P(African American|Year 2000) =18716/24381=0.767647

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