PS, l'approcio e Bayesiano
A university in northern California is sued for discriminating against
female applicants: the chance of being accepted is 0.19 for a male and
0.115 for a female. The university’s lawyers argue as follows. There is no
discrimination in selection: the chance of success for a female is the same
as for a male when they apply to the same faculty. However females are
more likely to apply to the popular Arts faculty where there is a small
chance of success and males more likely to be apply to the other faculty,
the unpopular Science faculty where there is a higher chance of success.
The lawyers supply the following figures: for males the probability is 0.6
that he will apply for Science and 0.4 that he will apply for Arts; for
females the probability is 0.9 that she will apply for Arts and 0.1 she will
apply for Science. The Arts faculty accepts x of its applicants and
Science y and these success rates are the same for males and females.
Check this argument and find the numerical values of x and y
Un universita e stata accusata per discriminare le ragazze.
Le possibilita di essere accettate sono: 0.19 per maschi e 0.115 per le ragazze.
I legali argomentano come segue: non ci sono discriminazioni nelle selezioni, le possibilita di successo per una ragazza e` uguale a quella dei maschi quando si iscrivono alla stessa facolta.
Ci sono 0.6 che i maschi vadano a scienze e 0.4 che vadano ad arte.
Mentre le ragazze 0.1 a scienze e 0.9 ad arte.
La facolta di arte accetta x iscritti mentre quella di scienze y e questi proporzioni di successo sono uguali per M e F.
Trova x e y.
Grazie