Chapter 4.5, Problem 138E

Protective Orders. In the article “Judicial Dispositions of Ex-Parte and Domestic Violence Protection Order Hearings: A Comparative Analysis of Victim Requests and Court Authorized Relief” (Journal of Family Violence, Vol. 20, No. 3, pp. 161–170), D. Year-wood looked at the discrepancies between what a victim of domestic violence requests and what the courts reward. The following contingency table cross-classifies, by race and gender, a sample of 407 domestic violence protective orders from the North Carolina Criminal Justice Analysis Center.

Compute the following conditional probabilities directly; that is, do not use the conditional probability rule. One of these protective orders is selected at random. Find the probability that the order was filed by

1. a. a Black.
2. b. a white female.
3. c. a male, given that the filer was white.
4. d. a male, given that the filer was Black.