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“Our criminal justice system isn’t as smart as it should be… [It] remains partic

ID: 3257485 • Letter: #

Question

“Our criminal justice system isn’t as smart as it should be… [It] remains particularly skewed by race and by wealth.” - President Barack Obama, 2015 The public wants to know if this is true. You and your team of unbiased, objective analysts have been hired to evaluate these claims. You will use census data, data from the Bureau of Justice, and data from the Federal Bureau of Investigation to calculate probabilities that will either support or refute these claims. There are three main roles in this project. There are three main roles in this scenario. Select a role and complete the task listed under the role. Role #1: Race Analyst Are there people of a certain race that are more likely to be arrested? Your task is to use data to calculate the probability that someone arrested in 2014 was Hispanic/Latino, Black, White, American Indian/Alaskan Native, or Asian. Then compare those probabilities to the probability of selecting a person of that race out of the total population of the United States. Use the following links to find your data: https://www.fbi.gov/about-us/cjis/ucr/crime-in-the-u.s/2014/crime-in-the-u.s.-2014/tables/table-43 http://www.census.gov/quickfacts/table/RHI125214/00 In other words, if an arrested person was selected at random in 2014, what is the probability that the person was Hispanic/Latino, Black, White, American Indian/Alaskan Native, or Asian? Calculate each probability. If a person was selected at random from the population of the United States in 2014, what is the probability that the person was Hispanic/Latino? Black? White? American Indian/Alaskan Native? Asian? Calculate each probability. Compare and contrast these probabilities. Are there people of certain races that are more likely to be arrested than other races? Include your calculations and results.

Explanation / Answer

We know that the formula for Probablity = P = m/n

                            where m = number of favourable events = no of persons of individuals in Hispanic/Latino or White or balck or American Indian/Alaskan Native, or Asian

                                     n = toatl number of events = toatl number of persons in entire data.

From the information of thegiven table cosists the following results,and also find the individual probablities are given by,

There are 5 categories they are Hispanic/Latino,White,balck,American Indian/Alaskan Native,Asian.

So the probablity of arrested person was come from any of above 5 categories = 1/5

Hence the reqired Probabilities are given by

If a person was selected at random from the population of US in 2014,then the Probability of that arrested person was come from White = (1/5)*0.6934

                                 = 0.13868

Similarly,If a person was selected at random from the population of US in 2014,then the Probability of that arrested person was come from Black = (1/5)*0.2781

                                = 0.05562

Similarly,If a person was selected at random from the population of US in 2014,then the Probability of that arrested person was come from American Indian = (1/5)*0.0155

                                = 0.0031

Similarly,If a person was selected at random from the population of US in 2014,then the Probability of that arrested person was come from Asian = (1/5)*0.0115

                                = 0.0023

Similarly,If a person was selected at random from the population of US in 2014,then the Probability of that arrested person was come from Hipanic/Latin = (1/5)*0.0012

                                   = 0.00024

Hence the reqiured probablity that the person was Hispanic/Latino or Black or White or American Indian or Asian is given by

= 0.13868 + 0.05562 + 0.0031 + 0.0023 + 0.00024

= 0.19994

Now we compare the above each probabilities the people of ceertain races that are more likely to be arrested than other races.

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Total no of persons in the Race White Black American indian Asian Hispanic/Latin Total 8730665 6056687 2427683 135599 100067 10629 Probabilty 0.6934 0.2781 0.0155 0.0115 0.0012