Question

Breakdown of AIDS Ctrl+S Users of 25% njected drugs Men who have sexwith men 62% Heterosexual men 3% Heterosexual women 5% Receipts Of blood transfusions 200 6% Other 7% Men who have sexwith men and inject drugs figure accompanied the article: The figure summarizes the distribution of AIDS cases among adults and adolescents by exposure category. (a) Each of the percentages in the figure represents a conditional probability P(E|F). For each percentage, identify the events E and F (b) None of the conditonal probabilities in the figure, however, are the right ones to look at for the purpose of deciding whether to accept blood donations from sexually active gay men. There is one conditional probability P(E|F) not specified in the figure which would be useful to know What are the events E and F?

Answer 1

(a)

$F=event ~that~the~distribution~of~AIDs~cases~among~adults~and~adolescents\\ E=event~of~Users~of~injected~drugs\\ P(E|F)=0.25\\ E=event~of~heterosexual~men\\ P(E|F)=0.03\\ E=event~of~Heterosexual~women\\ P(E|F)=0.05$

$E=event~of~receipts~of~blood~transfusions\\ P(E|F)=0.02\\ E=event~of~other~cases\\ P(E|F)=0.06\\ E=event~that~the~men~who~sex~with~men~and~inject~drugs\\ P(E|F)=0.07\\$

$E=event~of~men~who~sex~with~men\\ P(E|F)=0.52\\$

$(b)~F=event~of~gay~men~with~AIDs\\ E=event~that~the~gay~men~donate~blood.$