Sixty Percent of the Student Body at UTC Is from the State

question 29

Essay

Sixty percent of the student body at UTC is from the state of Tennessee (T), 30% percent are from other states (O), and the remainder is international students (I). Twenty percent of students from Tennessee live in the dormitories, whereas 50% of students from other states live in the dormitories. Finally, 80% of the international students live in the dormitories.
a.What percentage of UTC students lives in the dormitories?
b.Given that a student lives in the dormitory, what is the probability that she/he is an international student?
c.Given that a student does not live in the dormitory, what is the probability that she/he is an international student?

---

Definitions:

Acid Rain

Precipitation that contains a high level of sulfuric or nitric acids, often due to air pollution from burning fossil fuels.

Emotional Intelligence

A capacity for recognizing our own feelings and those of others, motivating ourselves, and managing emotions well in ourselves and in our relationships.

Disruptive Impulses

Behaviors or thoughts that interrupt traditional processes or established norms, potentially leading to innovation or change.

Empathize

means to understand and share the feelings of another person, crucial for building rapport and effective communication in personal and professional settings.