In a study of violent victimization of women and men, Porcerelli et al. (A-2) collected information from 679 women and 345 men aged 18 to 64 years at several family practice centers in the metropolitan Detroit area. Patients filled out a health history questionnaire that included a question about victimization. The following table shows the sample subjects cross-classified by sex and the type of violent victimization reported. The victimization categories are defined as no victimization, partner victimization (and not by others), victimization by persons other than partners (friends, family members, or strangers), and those who reported multiple victimization.

(a) Suppose we pick a subject at random from this group. What is the probability that this subject will be a woman?

(b) What do we call the probability calculated in part a?

(c) Show how to calculate the probability asked for in part a by two additional methods.

(d) If we pick a subject at random, what is the probability that the subject will be a woman and have experienced partner abuse?

(e) What do we call the probability calculated in part d?

(f) Suppose we picked a man at random. Knowing this information, what is the probability that he experienced abuse from nonpartners?
(g) What do we call the probability calculated in part f?
(h) Suppose we pick a subject at random. What is the probability that it is a man or someone who experienced abuse from a partner?
(i) What do we call the method by which you obtained the probability in part h?

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No Victimization Partners Nonpartners Multiple Victimization Total Women 611 34 16 18 679 Men 308 10 17 10 345 Total 919 44 33 28 1024