Question

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are $16$business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.

In words, define the random variable $X$.

Short answer

$X$is a random variable that has the following definition:

The percentage of business majors in the statistics students' sample.

Step-by-step solution

Concept used 

Random variable: A variable called to as a variable quantity represents the outcome of an extremely random experiment. Capital letters, such as $X,Y$etc., have been used to indicate it.

Given

The amount of business majors in a sample picked from a set of statistics students both of whom are business and non-business majors is the subject of interest.

Conclusion

As a result, in this example, the random model can be described as:

$X=$The number of commercial majors in the statistics students' sample.

It's a discrete version since $X$can only take a finite number value.