In a random sample of NU students, 60% of the students are
Chemical engineering majors, 30% Process engineering majors, and
10% are civil majors. Of the Chemical engineering majors, 50% were
females; whereas, 30% of Process engineering majors were females.
Finally, 20% of the civil majors were female. Given that a person
is female, what is the probability that she is a Chemical
engineering major?