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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?

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Carol Dweck

A psychologist known for her work on the mindset psychological trait, particularly the distinction between fixed and growth mindsets.

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The process of acquiring knowledge, behaviors, skills, values, or preferences, potentially leading to a permanent change in behavior or understanding.

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To not succeed in achieving a desired outcome or reaching a specific standard.

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Alterations in the body's normal biological functions, which can be due to various factors, including stress, illness, or environmental conditions.

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