In a random sample of UTC students 50% indicated they are business majors, 40% engineering majors, and 10% other majors. Of the business majors, 60% were females; whereas, 30% of engineering majors were females. Finally, 20% of the other majors were female
a. What percentage of students in this sample was female?
b. Given that a person is female, what is the probability that she is an engineering major?
a. 44%
b. 0.2727
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