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:

Positive Statement

An objective statement based on factual evidence that can be tested and validated, often describing what is, rather than what ought to be.

Microeconomics

A branch of economics that focuses on the actions of individuals and industries, like the dynamics between buyers and sellers, borrowers and lenders.

Macroeconomics

The branch of economics that studies the behavior and performance of an economy as a whole, focusing on aggregate changes in the economy such as GDP and unemployment.

Microeconomist

a specialist who studies the behavior of individuals and firms in making decisions regarding the allocation of scarce resources and the interactions among these individuals and firms.