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.

What values does $X$take on?

Short answer

The continuous random variable can have any number of values.$x=2,3,4,5,6,7,8,9$

Step-by-step solution

Given

From a total of $16$business majors and $7$non-business majors, a sample of $9$students was chosen. The random variable's representation of the data:

$X$: The sample's number of business majors.

Explanation of Solution

A discrete random variable is $X$. Because there are only $7$non-business students in the group, the sample of size $9$will have at least $2$business majors. As a result, the lowest number that $X$can take is $2$. It's also possible that all of the students chosen are business majors, in which case the maximum value for x is $9$. As a result, any integral value between $2$and $9$can be assigned to the random variable$X$. (both inclusive).