In a Business Class,15% of the Students Have Never Taken

question 49

Multiple Choice

In a business class,15% of the students have never taken a statistics class,40% have taken only one semester of statistics,and the rest have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course.Assume everyone in the group is independent.What is the probability that both of your two group mates have studied at least one semester of statistics?

• A)0.40
• B)0.723
• C)0.16
• D)0.85
• E)1.7

---

Definitions:

Theoretical Distribution

A mathematical function that describes all the possible values and likelihoods that a random variable can take within a given range.

F-ratios

A statistical measure calculated by dividing the variance between groups by the variance within groups in the context of an ANOVA test.

F-ratio

A statistic used in ANOVA to compare the variance among group means to the variance within groups; it assesses whether the means are significantly different.

Variability

A statistical measure that indicates the extent to which data points in a dataset differ from the average value.