The Following Table Shows the Number of Students in Three

question 28

Short Answer

The following table shows the number of students in three different degree programs and whether they are graduate or undergraduate students:
$$\begin{array} { l | r r | r } & \text { Under graduate } & \text { Graduate } & \text { Total } \\\hline \text { Business } & 150 & 50 & 200 \\\text { Engineering } & 150 & 25 & 175 \\\text { Arts \& Sciences } & 100 & 25 & 125 \\\hline \text { Total } & 400 & 100 & 500\end{array}$$
a. What is the probability that a randomly selected student is an undergraduate?
b. What percentage of students is engineering majors?
c. If we know that a selected student is an undergraduate, what is the probability that he or she is a business major?
d. A student is enrolled in the Arts and Sciences school. What is the probability that the student is an undergraduate student?
e. What is the probability that a randomly selected student is a graduate Business major?

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Definitions:

Isolate

To separate an individual or object from others, either physically or socially.

Prosocial

Behaviors that are intended to benefit others, including acts of kindness, generosity, and cooperation.

Maintaining Prestige

The act of preserving and enhancing one's status, reputation, or respect in the eyes of others.

Insecurity

Feelings of uncertainty or anxiety about oneself; lack of confidence.