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 female. Finally 20% of the other majors were female.  For the following answers, round your answer to 4 decimal places, using a zero in from of the decimal for answers less than one. A. What percentage of students in this sample was female?

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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 female. Finally 20% of the other majors were female. 

For the following answers, round your answer to 4 decimal places, using a zero in from of the decimal for answers less than one.

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?

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