Question

Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from $203,967$incoming first-time, full-time freshmen from $270$four-year colleges and universities in the U.S. $71.3\%$of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status.

In words, define the random variable$\mathrm{X}$.

Short answer

Variable $\mathrm{X}$is number of persons legal for marital status.

Step-by-step solution

Given information

In a survey, freshmen were asked whether they thought same-sex couples should have the right to legal marriage status.

The number eight is chosen at random.

Explanation

The random variable's definition is as follows:

A random variable is a variable that represents the outcome of interest in a random experiment and is denoted by upper case alphabets.

$\mathrm{X}=$Number of freshmen selected from the study trial of eight interested in the number that believes that same sex-couples should have the right to legal marital status

Since$\mathrm{X}$can take only a finite number of values, it is a discrete random variable.