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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:

Emergent Norm Theory

Suggests that norms emerge spontaneously in groups during situations where traditional routines or norms are unclear or absent.

Large Crowds

Gatherings of a significant number of people in a specific location, often leading to unique social dynamics and behaviors.

Convergence Theory

A theory suggesting that group members' opinions tend to become more similar over time as they interact and exchange ideas.

Contagion Theory

A theory suggesting that emotions and behaviors can spread through groups as if they were infectious diseases.

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