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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:

Morality Bias

The tendency to make judgments or decisions based on moral considerations, often at the expense of other factors.

Bullying Incidents

Events or actions where an individual or group engages in aggressive or unwanted behavior aimed at harming or intimidating another.

Human Resources

The department within an organization that focuses on recruitment, management, and guidance for the people who work in it.

Hostile Attribution Bias

A cognitive bias in which individuals tend to interpret others’ behaviors as having hostile intent, even when it's ambiguous or benign.

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