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In a Random Sample of UTC Students 50% Indicated They

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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 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?


Definitions:

Conversion Costs

The combined costs of direct labor and manufacturing overhead expenses, representing the costs necessary to convert raw materials into finished goods.

Equivalent Unit

A concept used in cost accounting to convert partially completed goods into a number of complete units of output, allowing for a consistent measure of output.

Process Costing

A costing method used for continuous or batch processing environments where the product is homogeneous, assigning costs to units of output on an average basis.

Conversion Costs

The combined costs of direct labor and manufacturing overheads incurred to convert raw materials into finished products.

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